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Sudhanshu Aggarwal

Sudhanshu Aggarwal
National P.G. College Barhalganj Gorakhpur U.P. India · Mathematics

Ph.D. (Mathematics), CSIR NET (Mathematical Science)
Integral Equations & Integral Transforms

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157
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Introduction
Sudhanshu Aggarwal currently works at the Department of Mathematics, National P.G. College Barhalganj Gorakhpur U.P. India. My current projects are 'Population Growth and Decay Problems', Vibrations of plates , Integral transforms and its applications. https://scholar.google.co.in/citations?hl=en&authuser=1&user=OE5xtfQAAAAJ
Additional affiliations
September 2017 - present
National P.G. College Barhalganj Gorakhpur
Position
  • Professor (Assistant)
October 2013 - September 2017
Noida Institute of Engineering and Technology
Position
  • Professor (Assistant)
Education
July 2005 - July 2007
M.S. college Saharanpur U.P. India
Field of study

Publications

Publications (157)
Article
Full-text available
In the presented paper, authors propose a new estimator by combining two already exist ratio estimators and estimate the population mean in simple random sampling. Authors also determine the mean square error (MSE) of this estimator. In the last of this paper, they show that the presented estimator is more efficient than the existing ratio estimato...
Article
Full-text available
Nowadays scholars are very interested to use integral transforms methods for solving the problems of Engineering, Medicine, Chemistry, Economics, Physics, National Defence, Geology, Biology and Social Sciences because these methods provide the analytical solutions of the problems. In this paper, authors discussed a new application of Anuj transform...
Article
Full-text available
In this paper, authors propose a new integral transform “Rishi Transform” with application to determine the exact (analytic) solution of first kind Volterra integral equation (V.I.E.). For this purpose, authors first derived the Rishi transform of basic mathematical functions (algebraic and transcendential) and then the fundamental properties of Ri...
Article
Full-text available
Various real-world phenomena can easily handle by expressing them in mathematical models using ordinary differential equations (O.D.E), partial differential equations (P.D.E.), delay differential equations (D.D.E.), fractional differential equations (F.D.E.), difference equations (D.E.), integral equations (I.E.) and integro-differential equations...
Article
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The theory of dynamical systems and their widespread applications involve, for example, the Lane–Emden-type equations which are known to arise in initial- and boundary-value problems with singularity at the time t=0. The main objective of this paper is to make use of some mathematical analytic tools and techniques in order to numerically solve some...
Book
Full-text available
The present book “Mathematical Methods in Engineering and Science” is presented for students and researchers working in the field of engineering and science. The present book describes various mathematical methods for solving the problems of engineering and science. The present book is divided into five chapters. Chapter 1 discusses the Laplace tra...
Research
Full-text available
Diophantine equations are those equations of theory of numbers which are to be solved in integers. The class of Diophantine equations is classified in two categories, one is linear Diophantine equations and the other one is non-linear Diophantine equations. Both categories of these equations are very important in theory of numbers and have many imp...
Research
Full-text available
Diophantine equations are those equations which are to be solved in integers. Diophantine equations are very important equations of theory of numbers and have many important applications in algebra, analytical geometry and trigonometry. In this article, authors discussed the existence of solution of exponential Diophantine equation 601 + 619 = 2 ,...
Research
Full-text available
Diophantine equation is the subject undergoing intense study by the researchers in number theory as these equations help in solving various advance puzzle problems. In this paper, authors discussed the existence of solution of Diophantine equation 211 + 229 = 2 , where , , are non-negative integers. Results show that the consider equation of study...
Book
Full-text available
The present book “LAPLACE TRANSFORM WITH APPLICATIONS” contains six chapters. Chapter 1 deals with Laplace transforms with its fundamental properties. Chapter 2 discusses the inverse Laplace transforms with partial fraction method and convolution theorem of inverse Laplace transforms for determining the inverse Laplace transforms of functions. Chap...
Book
Full-text available
The present book “Recent Trends in Physical Science and Engineering” is presented for students and researchers working in the field of physical science and engineering. The present book describes various new trends for solving the problems of science and engineering.The present book is divided into five chapters. 1. LAPLACE TRANSFORM FOR THE SOLUTI...
Book
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The present book is divided into five chapters. 1. ON THE NON-LINEAR DIOPHANTINE EQUATION 79x+97y=z2 (Nidhi Sharma, Shahida A.T., Renu Chaudhary) 12-23 2. ON THE EXPONENTIAL DIOPHANTINE EQUATION M3p+M7q=r2 (Sanjay Kumar, Aakansha Vyas, Gyanvendra Pratap Singh) 24-31 3. ON THE SOLUTIONS OF EXPONENTIAL DIOPHANTINE EQUATION kx + (k + 10)y= z2 (Deepa...
Book
Full-text available
The present book “REMEDIAL COURSE IN ABSTRACT ALGEBRA” has been written to develop foundation knowledge for the readers to understand basics of abstract algebra. The subject matter has been discussed in such a simple and systematic way that the readers will find no difficulty to understand it. The present book is divided into six chapters (Chapter-...
Book
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1. STUDY ON METRIC DIMENSION OF A GRAPH WITH FINITE ORDER (Shahida A.T.) 10-32 2. STAGES OF MATHEMATICAL MODEL CONSTRUCTION WITH PROPORTIONALITY AND GEOMETRIC SIMILARITY APPROACH (Sumaiya Ahmed, Osheen Khare, Yograj Singh) 33-65 3. PRODUCTION INVENTORY MODEL WITH TIME DEPENDENT QUADRATIC DEMAND AND VARIABLE HOLDING COST (Himanshu Pandey, Ashutosh P...
Book
Full-text available
Many advance problems of engineering and sciences like electric circuit problem, the problem of determining the blood glucose concentration of patient during intravenous injection and growth problem of cells can be easily solved by building their mathematical models using Volterra integral equation or system of Volterra integral equations. Laplace...
Book
Full-text available
The main objective of this book is to explore the basic concepts of ordinary differential equations (O.D.E.) with Laplace transforms in a simple, systematic and easy-to-understand manner. The present book is divided into sixteen chapters which cover all the important topics like introduction of O.D.E., O.D.E. of first order and first degree, higher...
Book
Full-text available
The present book starts with the symptoms of disease and important measures to be taken for prevention and control of the COVID-19 disease. Finally some Ayurveda’s immunity boosting measures for self care during COVID-19 crisis have been discussed. We present the book “NOVEL CORONAVIRUS (COVID-19)” to our readers with a hope that they will now act...
Book
Full-text available
Chapter 1 presents introduction of Volterra integro-ordinary differential equations. The definition and examples of integral equation, Volterra integro-ordinary differential equations, primitive of Volterra integro-ordinary differential equations, different types of Volterra integro-ordinary differential equations, linear and non-linear Volterra in...
Book
Full-text available
Chapter 1 presents introduction of Volterra integro-ordinary differential equations. The definition and examples of integral equation, Volterra integro-ordinary differential equations, primitive of Volterra integro-ordinary differential equations, different types of Volterra integro-ordinary differential equations, linear and non-linear Volterra in...
Book
Full-text available
Chapter 1 presents introduction of Volterra integral equations. The definition and examples of integral equation, Volterra integral equation, primitive of Volterra integral equation, different types of Volterra integral equations, linear and non-linear Volterra integral equations, convolution type Volterra integral equations and their system are pr...
Book
Full-text available
Fourier transform is one of the most important and often used integral transform. It is frequently applied for attaining the solutions to the problems of science and engineering such as image analysis, image filtering, image reconstruction, image compression, signal analyzing and circuit analysis. This transform is also effectively applied to initi...
Article
Full-text available
The solutions of heat and mass transfer problem, growth problem of cells, electric circuit problem, drugs delivery problem and spring-mass problem easily determined by developing their mathematical model in terms of Volterra integro-differential equations or their system. In this paper, authors present Laplace transform for obtaining the solution o...
Article
Full-text available
In the present paper, authors determine the primitive of system of convolution type linear Volterra integro-differential equations of first kind by using Laplace-Carson transform. Four numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform for determining the pr...
Article
Full-text available
In the present paper, authors determine the solution of system of linear Volterra integro-differential equations of second kind via Laplace-Carson transform. Two numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform. Results of numerical problems depict that th...
Book
Full-text available
Singular integral equations can be used for solving many interesting problems of engineering, mechanics, statistics, physics, elasticity, potential theory, plasticity, fluid dynamics, population dynamics, and aero dynamics. Singular integral equations have very unusual properties.This book is to explore the basic concepts of singular integral equat...
Book
Full-text available
The world is going through hard time. The culture of gathering has changed to lockdown and then to social distancing. The change is noticed from infants to old age people. The ground of this change and hardship is COVID-19. The corona virus disease, first diagnosed in 2019 in Wuhan, China gradually spread in whole world and becoming a pandemic. As...
Book
Full-text available
In the present time, the world is going through various ups and downs. The cultural activity even of greeting other person has even changed. The reason is COVID-19, although the disease was first noticed in year 2019 and gradually spread in whole world, leading a disease to become epidemic and then the pandemic. The outbreak of disease was due to t...
Book
Full-text available
Many interesting problems of engineering, mechanics, statistics, physics, elasticity, potential theory, plasticity, fluid dynamics, population dynamics, and aero dynamics can be solved by defining in terms of singular integral equations. Singular integral equations have very unusual properties.This book is to explore the basic concepts of singular...
Article
Full-text available
India, our motherland is always being recognized as a land of learned and learners. India is a land of ‘Guru-Shishya Parampara’ where guru not only passes the knowledge he/she possess but also sway the life of student to explore the world and new opportunities. For exploring the new, need and importance of research can easily be felt. Education...
Book
Full-text available
Nowadays, integral transforms have become essential working tool for handling most of the problems of engineering and sciences. Many interesting real-world problems in science and technology can be easily solved using integral transforms by building their mathematical models in terms of different types of equations and their system such as ordinary...
Article
Full-text available
Mathematics Subject Classification: 44A05 35F40 97M10 97M60 a b s t r a c t The problem of motion of coupled harmonic oscillators can be modeled in the terms of system of ordinary differential equations (SODEs). In the present paper, authors used Sawi transformation for finding the solution of SODEs with application to determine the concentration o...
Article
Full-text available
Nowadays, scholars are very interested to determine the solution of different Diophantine equations because these equations have many applications in the field of coordinate geometry, cryptography, trigonometry and applied algebra. These equations help us for finding the integer solution of famous Pythagoras theorem and Pell's equation. Finding the...
Article
Full-text available
Diophantine equations are those equations of theory of numbers which are to be solved in integers. The class of Diophantine equations is classified in two categories, one is linear Diophantine equations and the other one is non-linear Diophantine equations. Both categories of these equations are very important in theory of numbers and have many imp...
Article
Full-text available
The system of Volterra integro-ordinary differential equations generally appears in determining the solutions of heat and mass transfer problem, growth problem of cells, electric circuit problem, drugs delivery problem and spring-mass problem. In this paper, authors present Laplace transform for determining the solution of system of linear Volterra...
Article
Full-text available
The class of Diophantine equations is classified in two categories, one is linear Diophantine equations and the other one is non-linear Diophantine equations. Both categories of Diophantine equations are widely used to represent the many puzzle problems in mathematical form. In the present paper, authors studied the exponential Diophantine equation...
Article
Full-text available
The family of Diophantine equations is divided into two categories (linear Diophantine equations and non-linear Diophantine equations). Diophantine equations are very useful for determining the solutions of many puzzle problems. In the present paper, authors studied the exponential Diophantine equation + + = , where , , , are whole numbers, for det...
Article
Full-text available
Nowadays, researchers are very interested to determine the solution of different Diophantine equations because these equations have many applications in the field of coordinate geometry, trigonometry and applied algebra. These equations help us for finding the integer solution of famous Pythagoras theorem. Finding the solution of Diophantine equati...
Article
Full-text available
The family of Diophantine equations is divided into two categories (linear Diophantine equations and non-linear Diophantine equations). Diophantine equations are very useful for determining the solutions of many puzzle problems. In the present paper, authors studied the exponential Diophantine equation + + = , where , , , are whole numbers, for det...
Article
Full-text available
Diophantine equation is the subject undergoing intense study by the researchers in number theory as these equations help in solving various advance puzzle problems. In this article, authors discussed the existence of solution of exponential Diophantine equation 439 + 457 = 2 , where , , are whole numbers. Results show that the exponential Diophanti...
Article
Full-text available
Diophantine equations are very useful while studying certain problems of coordinate geometry, cryptography, trigonometry and applied algebra. In the present paper, authors studied the non-linear Diophantine equation + + − = , where , , are whole numbers, for determining its solution in whole number. Results show that the non-linear Diophantine equa...
Article
Full-text available
The class of Diophantine equations is classified in two categories, one is linear Diophantine equations and the other one is non-linear Diophantine equations. Both categories of Diophantine equations are widely used to represent the many puzzle problems in mathematical form. In the present paper, authors studied the exponential Diophantine equation...
Presentation
Full-text available
WAR AND MATHEMATICS
Article
Full-text available
In the current scenario integral transforms is an interesting field for research due to the wide applicability of the method of integral transforms in obtaining the analytical solution of many problems of engineering, physical sciences, and space science, etc. In this paper we determine the analytical primitive (solution) of a generalized Abel's in...
Article
Full-text available
In this article, authors discussed the existence of solution of non-linear diophantine equation \({379}^x+{397}^y=z^2,\) where \(x,y,z\) are non-negative integers. Results show that the considered non-linear diophantine equation has no non-negative integer solution.
Article
Full-text available
In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered and solved sequentially for explaining the complete...
Article
Full-text available
In this paper, the authors determine the number of infected cells and concentration of infected (viral) particles in plasma during HIV-1 (human immunodeficiency virus type one) infections using Shehu transformation. For this, the authors first defined some useful properties of Shehu transformation with proof and then applied Shehu transformation on...
Book
Full-text available
Many advance problems of engineering and sciences like electric circuit problem, the problem of determining the blood glucose concentration of patient during intravenous injection and growth problem of cells can be easily solved by building their mathematical models using Volterra integral equation or system of Volterra integral equations. Laplace...
Article
Full-text available
Volterra integro-differential equation generally appears when an initial value problem is to be converted into an integral equation. In this paper, authors determined the analytical solution of first kind Volterra integro-differential equation using Sadik transform. In this work, authors have considered that the kernel of first kind Volterra integr...
Article
Full-text available
Volterra integro-differential equations have many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. These equations generally appear in many branches of engineering, physics, biology, astronomy, radiology and statistics. In this paper, author...
Article
Full-text available
Volterra integro-differential equation generally appears when an initial value problem is to be converted into an integral equation. In this paper, authors determined the primitive of first kind Volterra integro-differential equation using Shehu transform. In this work, authors have considered that the kernel of first kind Volterra integro-differen...
Article
Full-text available
Volterra integral equation occurs widely in diverse areas of applied mathematics, physics, mechanics, statistics, biology, economics and theory of control systems. Many initial value problems associated with ordinary differential equation and partial differential equation can be transformed into a single Volterra integral equation. In this paper, a...
Article
Full-text available
Several situations of science, engineering, physics, biology, astronomy, radiology and statistics lead to Volterra integro-differential equations such as process of glass forming, diffusion problem, radiation transfer problem, growth of cells and describing the motion of satellite. In this paper, authors gave the application of Sawi transform for s...
Book
Full-text available
The main objective of this book is to explore the basic concepts of ordinary differential equations (O.D.E.) with Laplace transforms in a simple, systematic and easy-to-understand manner. The present book is divided into sixteen chapters which cover all the important topics like introduction of O.D.E., O.D.E. of first order and first degree, higher...
Article
Full-text available
In recent years, many scholars have paid attention to determine the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, authors determine the solutions of population growth and decay problems with the help of Sumudu transform. These problems have much importance in the field of economics, che...
Article
Full-text available
Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors present Laplace-Carson transform f...
Article
Full-text available
Bessel's functions have many applications to solve the problems of mathematical physics, nuclear physics, acoustics, radio physics, atomic physics, engineering and sciences such as flux distribution in a nuclear reactor, vibrations, fluid mechanics, hydrodynamics, stress analysis, heat transfer etc. In this paper, authors present Sawi transform of...
Article
Full-text available
Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors present Laplace transformation for...
Article
Full-text available
Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors present Mohand transform for handl...
Article
Full-text available
Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors determine the solution of convolut...
Article
Full-text available
Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors' present Aboodh transform for solv...
Article
Full-text available
Volterra integro-differential equations appear in different branches of engineering, physics, astronomy, biology, radiology and having many useful applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors determine the primitive of faltung...
Book
With the remarkable advancement in different branches of engineering, science, and technology, today more than ever before, the study of ordinary differential equations has become essential. For, to have an exhaustive understanding of subjects like thermodynamics, waves and electromagnetic, astronomy, chemistry, fluid dynamics, physics, statistics,...
Book
The present book is divided into five chapters which deal with the Taylor series method for the solution of Volterra integral equations. Chapter 1 presents introduction of Volterra integral equations and Taylor’s series. Chapter 2 deals with the method of Taylor’s series for the primitive of linear second kind non-homogeneous Volterra integral equ...
Article
Full-text available
Integral equations are playing an increasingly important role in obtaining the solution of many scientific and engineering problems such as determination of potentials, seismic travel time, optical fibers and system identification. In this paper, authors have solved non-linear second kind non-homogeneous Volterra integral equations (V.I.E.) using T...
Article
Full-text available
Integral equations are playing an increasingly important role in obtaining the solution of many scientific and engineering problems such as determination of potentials, seismic travel time, optical fibers and system identification. In this paper, authors have solved linear second kind non-homogeneous Volterra integral equations (V.I.E.) using Taylo...
Article
Full-text available
Integral equations have different applications such as determination of potentials, system identification, spectroscopy and seismic travel time. In this paper, authors have solved non-linear first kind Volterra integral equations (V.I.E.) using Taylor series method. Authors have been considered two numerical examples for explaining the complete met...
Article
Full-text available
With the remarkable advancement in engineering, science, and technology, today more than ever before, the study of integral equations has become essential. These integral equations may be linear or nonlinear. In this paper, authors have solved linear first kind Volterra integral equations (V.I.E.) using Taylor series method. Authors have been...
Article
Full-text available
Nowadays integral transforms are most appropriate techniques for finding the solution of typical problems because these techniques convert them into simpler problems. Finding the solution of initial value problems is the main use of integral transforms. However, there are so many other applications of integral transforms in different areas of mathe...
Article
Full-text available
Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, authors discussed th...
Article
Full-text available
Many advanced problems, which appear in the field of engineering and sciences like heat conduction problems, mechanical oscillation problems, vibrating beams problems, electric circuit problems, population growth and radioactive decay problems, can be solved by integral transforms. In this paper, we present a comparative study of two integral trans...
Article
Full-text available
Abel’s Integral Equation is an important singular Integral Equation and generally appears in many branches of sciences such as atomic scattering, mechanics, radio astronomy, physics, electron emission, X-ray radiography and seismology. In this paper, authors discussed the Laplace transform for the solution of Abel’s Integral Equation and some numer...
Article
Full-text available
Volterra integral equations appear when we convert initial value problem to an integral equation. The solution of Volterra integral equation is much easier than the original initial value problem. Many problems of science and engineering like neutron diffusion problem, heat transfer problem, radiation transfer problem, electric circuit problem etc...
Article
Full-text available
In recent years, integral transforms have become an essential working tool of every applied scientist and engineers. Integral transforms have been used in obtaining the solution to problems governed by ordinary and partial differential equations and special types of integral equations. The basic aim of the integral transforms is to transform a give...
Article
Full-text available
Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton's second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the...
Article
Full-text available
Integral transforms are the most useful techniques of the mathematics which are used to finding the solution of heat transfer problems, mixing problems, electrical networks, bending of beams, signal processing problems, which generally appears in the various disciplines of engineering and sciences. In this research paper, connections between Aboodh...
Article
Full-text available
Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton's second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the...
Article
Full-text available
Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton's second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the...
Article
Full-text available
Abel’s integral equation is an important singular integral equation and generally appears in many branches of sciences such as mechanics, atomic scattering, physics, electron emission, radio astronomy, X-ray radiography and seismology. In this paper, we use Sadik transform to solve Abel’s integral equation and some numerical applications in applica...
Article
Full-text available
Integral transforms have wide applications in the different areas of engineering and science to solve the problems of springs, Newton's law of cooling, electrical networks, bending of beams, mixing problems, signal processing, carbon dating problems, Newton's second law of motion, exponential growth and decay problems. In this paper, we will discus...
Article
Full-text available
Integral transforms have a number of applications in the different fields of engineering and science to solve the problems of Newton's law of cooling, signal processing, electrical networks, bending of beams, springs, mixing problems, carbon dating problems exponential growth and decay problems. In this paper, we will discuss the dualities of some...
Article
Full-text available
Error function occurs frequently in probability, statistics, physics and many engineering problems like heat conduction problems, vibrating beams problems etc. In this article, we use Laplace transform for solving improper integrals whose integrand consisting error function. In application section, some numerical applications are given to explain t...
Article
Full-text available
In recent years, many scholars have paid attention to find the solution of advance problems of biology, physiology, medicine, economics, engineering and physical sciences by using integral transforms. In this paper, Sawi transform is used for population growth and decay problems. These problems have much importance in the field of economics, chemis...
Article
Full-text available
In recent years, many scholars have paid attention to find the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, Sadik transform is used for handling linear Volterra integro-differential equations of second kind. These equations generally appear in the different areas of science and enginee...
Article
Full-text available
The solutions of many advanced engineering problems like Fick's second law, heat and mass transfer problems, vibrating beams problems contains error and complementary error function. When we use any integral transform to solve these types of problems, it is very necessary to know the integral transform of error function. In this article, we find th...
Article
Full-text available
The solutions of many advanced engineering problems like Fick's second law, heat and mass transfer problems, vibrating beams problems contains error and complementary error function. When we use any integral transform to solve these types of problems, it is very necessary to know the integral transform of error function. In this article, we find th...
Article
Full-text available
In recent years, many scholars have paid attention to find the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, Sadik transform is used for handling population growth and decay problems. These problems have much importance in the field of economics, chemistry, biology, physics, social scie...
Article
Full-text available
Error function occurs frequently in probability, statistics, physics and many engineering problems like heat conduction problems, vibrating beams problems etc. In this article, we find the Sumudu transform of error function. In application section, some numerical applications of Sumudu transform of error function for evaluating the improper integra...
Article
Full-text available
The solutions of many advanced engineering problems like Fick's second law, heat and mass transfer problems, vibrating beams problems contains error and complementary error function. When we use any integral transform to solve these types of problems, it is very necessary to know the integral transform of error function. In this article, we find th...
Article
Full-text available
Error function occurs frequently in probability, statistics, physics and many engineering problems like heat conduction problems, vibrating beams problems etc. In this article, we find the Aboodh transform of error function. In application section, some numerical applications of Aboodh transform of error function for evaluating the improper integra...
Article
Full-text available
Error function occurs frequently in probability, statistics, physics and many engineering problems like heat conduction problems, v ibrating beams problems etc. In th is article, we find the Elzaki transform of error function. In application section, some numerical applications of Elzaki transform of error function for evaluating the imp roper inte...
Article
The population growth and decay problems arise in the field of chemistry, physics, biology, social science, zoology etc. In this paper, we used Kamal transform for solving population growth and decay problems and some applications are given in order to demonstrate the effectiveness of Kamal transform for solving population growth and decay problems...
Article
In recent years, many scholars have paid attention to find the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, application of Shehu transform is given for handling growth and decay problems. These problems have much importance in the field of economics, chemistry, biology, physics, social...
Article
Full-text available
The solutions of many advanced engineering problems like Fick's second law, heat and mass transfer problems, vibrating beams problems contains error and complementary error function. When we use any integral transform to solve these types of problems, it is very necessary to know the integral transform of error function. In this article, we find th...
Article
Full-text available
In recent years, many scholars have paid attention to find the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, application of Shehu transform is given for handling growth and decay problems. These problems have much importance in the field of economics, chemistry, biology, physics, social...
Article
Full-text available
Mohand and Mahgoub transforms are very useful integral transforms for solving many advanced problems of engineering and sciences like heat conduction problems, vibrating beams problems, population growth and decay problems, electric circuit problems etc. In this article, we present a comparative study of two integral transforms namely Mohand and Ma...