# Samad NoeiaghdamIrkutsk State Technical University · Baikal School of BRICS

Samad Noeiaghdam

Ph.D. of Applied Mathematics

## About

127

Publications

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988

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Introduction

My personal site:
https://sites.google.com/view/snoeiaghdam

Education

September 2013 - December 2017

September 2011 - July 2013

## Publications

Publications (127)

The goal of this paper is to present a new scheme based on the stochastic arithmetic (SA) to find the optimal convergence control parameter, the optimal iteration and the optimal approximation of the homotopy analysis method (HAM). This scheme is called the CESTAC1 method. Also, the CADNA2 library is applied to implement the CESTAC method on the pr...

The pivotal aim of this paper is to propose an efficient computational technique, namely, Elzaki fractional projected differential transform method (EFPDTM) to solve the system of linear and nonlinear fractional differential equations. In the EFPDTM process, we investigate the behavior of independent variables for convergent series solution in admi...

In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the convergence of the proposed method is proved. The numerical results show that the presented met...

In this paper, a novel scheme is proposed to solve the first kind Cauchy integral equation over a finite interval. For this purpose, the regularization method is considered. Then, the collocation method with Fibonacci base function is applied to solve the obtained second kind singular integral equation. Also, the error estimate of the proposed sche...

The aim of this paper is to present a simple and accurate method to estimate the approximate solution of non-linear epidemiological model of computer viruses. For this reason, the variational iteration method (VIM) is applied. Also, in order to show the efficiency of presented method, we compare the numerical results with the differential transform...

This paper presents an efficient spectral method for solving the fractional Fredholm integro-differential equations. The non-smoothness of the solutions to such problems leads to the performance of spectral methods based on the classical polynomials such as Chebyshev, Legendre, Laguerre, etc, with a low order of convergence. For this reason, the de...

The research work develops a Context aware Data Fusion with Ensemblebased Machine Learning Model (CDF-EMLM) for improving the health data treatment. This research work focuses on developing the improved context aware data fusion and efficient feature selection algorithm for improving the classification process for predicting the health care data. I...

In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation.

The aim of this research paper is to study two-dimension flow of Casson hybrid nanofluid along with magnetic field, heat generation and absorption, and viscous dissipation on a nonlinear extending surface. The primary goal of this study is to improve the heat transfer relationship, which is in high demand in the manufacturing and engineering indust...

Efficient resource use is a very important issue in wireless sensor networks and decentralized IoT-based systems. In this context, a smooth pathfinding mechanism can achieve this goal. However, since this problem is a Non-deterministic Polynomial-time (NP-hard) problem type, metaheuristic algorithms can be used. This article proposes two new energy...

Current disquisition is aimed to adumbrate thermosolutal convective diffusion transport in Casson fluid filled in hexagonal enclosure under effectiveness of inclined magnetic field. Partially iso-concentration and iso-temperature distributions at base wall of enclosure is provided along with incorporation of fillets at corners of flow domain. Gover...

Theoretical analysis of physical characteristics of unsteady, squeezing nanofluid flow is studied. The flow of nanofluid between two plates that placed parallel in a rotating system by keeping the variable physical properties: viscosity and thermal conductivity. It is analyzed by using Navier Stokes Equation, Energy Equation and Concentration equat...

In this paper, the authors introduce the Prabhakar derivative associated with the generalised Mittag-Leffler function. Some properties of the Prabhakar integrals, Prabhakar derivatives and some of their extensions, like fractional Fourier transform of Prabhakar integrals and fractional Fourier transform of Prabhakar derivatives are introduced. This...

Corona virus disease 2019 (COVID-19) is an infectious disease and has spread over more than 200 countries since its outbreak in December 2019. This pandemic has posed the greatest threat to global public health and seems to have changing characteristics with altering variants, hence various epidemiological and statistical models are getting develop...

The mucus fluid vehicle is impacted by the synthetic response that changes the physical science of liquid due to the thickness of the bodily fluid. Additionally, various issues in the respiratory system might happen because of bodily fluid adequacy. A central point of transportation of immunizations to forestall COVID-19 is the concentration level...

The analysis of heat dissipation over a layered stretching sheet under the control of magneto-hydrodynamic mixed convective flow of Eyring-Powell fluid is described in this study. The effect of heat emission and immersion is investigated. A viscous, incompressible, two-dimensional, and laminar fluid is assumed. The governing equations of momentum a...

Corona virus infects the ciliated cells in the human nasal epithelium. Lung disease and diabetes are enlarged risks of severe breakdown against COVID-19. Cilia are hair-like construction enhanced from the celluloid into the pleural fluid surrounding the cell. Infection is detected in the lungs, a pleural disorder generates a Pleural Effusion. The p...

This paper will study insurance data clustering using Support Vector Machine (SVM) approaches. It investigates the optimum condition employing the three most popular kernels of SVM, i.e., linear, polynomial, and radial basis kernel. To explore sum insured datasets, kernel comparisons for Root Mean Square Error (RMSE) and density analysis have been...

The current research explores the problem of steady laminar flow of nanofluid on a two dimensional boundary layer using heat transfer of Cassona cross the linearly stretching sheet. The governing equations are partial differential equations which are transformed into non-linear ordinary differential equations by using some similarity transformation...

In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the p...

This paper addresses a new spectral collocation method for solving nonlinear fractional quadratic integral equations. The main idea of this method is to construct the approximate solution based on fractional order Chelyshkov polynomials (FCHPs). To this end, first, we introduce these polynomials and express some of their properties. The operational...

In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp. δ, δS, P and Z) normal spaces and strongly fuzzy nano (resp. δ, δS, P and Z) normal spaces with the help o...

The aim of this study is to introduce a novel method to solve a class of two-dimensional fractional optimal control problems. Since there are some difficulties solving these problems using analytical methods, thus finding numerical methods to approximate their solution is a challenging topic. In this study, we use transcendental Bernstein series. I...

Two-variable interpolation by polynomials is investigated for the given f : R 2 → R. The new idea is to compute for the points on the two sides of a rectangle. In this paper, we present a generalization of the Newton divided interpolation polynomials in two dimension. The only bet is that in (2n + 1) distinct points of function have similar quantit...

Two-variable interpolation by polynomials is investigated for the given f : R 2 → R. The new idea is to compute for the points on the two sides of a rectangle. In this paper, we present a generalization of the Newton divided interpolation polynomials in two dimension. The only bet is that in (2n + 1) distinct points of function have similar quantit...

In this paper, we establish the solution of the fourth-order nonlinear homogeneous neutral functional difference equation. Moreover, we study the new oscillation criteria have been established which generalize some of the existing results of the fourth-order nonlinear homogeneous neutral functional difference equation in the literature. Likewise, a...

The authors use direct and fixed point methods to prove generalised Ulam–Hyers stability
and a solution of the following new form of symmetric additive functional equation arising from characteristic polynomial of degree three in Banach spaces.

In this paper, the 3-D squeezing flow of viscous incompressible fluid between two parallel
plates rotating at the same rate is investigated. The flow is observed under the influence of the varying magnetic field. The flow phenomena are modeled by utilizing the basic governing equations, i.e., equation of continuity, coupled Navier Stokes, and Magne...

This article, investigates the behaviour of an ionized nanoliquid motion regarding heat
transmission between two parallel discs. In the proposed model, the squeezing flow of Cu-water nanofluid with electrical potential force is analysed for studying the flow properties and an uniform magnetic field is applied to that fluid, by taking the surface of...

There are many applications of mathematical physics in several fields of basic science and
engineering. Thus, we have tried to provide the Special Issue “Modern Problems of Mathematical
Physics and Their Applications” to cover the new advances of mathematical physics and its
applications. In this Special Issue, we have focused on some important and...

In this article, the behavior of transient electroviscous fluid flow is investigated through squeezing plates containing hybrid nanoparticles. A hybrid nanofluid MoS2+Au/C2H6O2−H2O was formulated by dissolving the components of an inorganic substance such as molybdenum disulfide (MoS2) and gold (Au) in a base fluid of ethylene glycol/water. This hy...

The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gausstype quadrature formula is used to approximate integrals during the discretization of the proposed projection method. The estimate of accuracy of approximate solution is obtained. Sto...

In this research, an efficient scheme is presented to validate the numerical results and solve the second kind integral equations (IEs). For this reason the homotopy perturbation method (HPM) is illustrated and the stochastic arithmetic is applied to implement the CESTAC¹ method for solving IEs. The accuracy of method is shown by proving a main the...

A comparative study of nanofluid (Cu–H2O) and pure fluid (water) is investigated over a moving upright plate surrounded by a porous surface. The novelty of the study includes the unsteady laminar MHD natural transmission flow of an incompressible fluid, to get thermal conductivity of nanofluid is more than pure fluid. The chemical reaction of this...

There are many applications of mathematical physics in several fields of basic science
and engineering. Thus, we have tried to provide the Special Issue “Modern Problems of
Mathematical Physics and Their Applications” to cover the new advances of mathematical
physics and its applications. In this Special Issue, we have focused on some important and...

The introduction of hybrid nanofluids is an important concept in various engineering
and industrial applications. It is used prominently in various engineering applications, such as wider absorption range, low-pressure drop, generator cooling, nuclear system cooling, good thermal conductivity, heat exchangers, etc. In this article, the impact of va...

The goal of this work is to apply the discrete stochastic arithmetic (DSA) and the fuzzy CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method to validate the results of solving fuzzy Fredholm or Volterra integral equations (IEs) by the homotopy analysis method (HAM). The CADNA (Control of Accuracy and Debugging for Numerical...

In this chapter, the mathematical model of HIV infection for CD8+T cells is illustrated. At first, we will start modelizing the mentioned phenomenon in the fractional form using the Caputo-Fabrizio fractional derivative. After that the existence of solution using the Picard-Lindelof approach and the Banach fixed point theorem is studied and the fix...

In this paper, we consider a class of quasilinear third-order differential equations with a delay argument. We establish some conditions of such certain third-order quasi-linear neutral differential equation as oscillatory or almost oscillatory. Those criteria improve, complement and simplify a number of existing results in the literature. Some exa...

This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law. Numerical comparisons confirm that the accuracy of our method is better than that of other existing standard methods su...

The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrature formula is used to approximate integrals during the discretisation of the proposed projection method. The estimate of accuracy of approximate solution is obtained. St...

The aim of this study is to apply a novel technique to control the accuracy and error of the Adomian decomposition method (ADM) for solving nonlinear shallow water wave equation. The ADM is among semi-analytical and powerful methods for solving many mathematical and engineering problems. We apply the Controle et Estimation Stochastique des Arrondis...

Cerebrospinal fluid (CSF) is a symmetric flow transport that surrounds brain and central
nervous system (CNS). Congenital hydrocephalusis is an asymmetric and unusual cerebrospinal fluid flow during fetal development. This dumping impact enhances the elasticity over the ventricle wall. Henceforth, compression change influences the force of brain ti...

Linear and non-linear integral equations of the first and second kinds have many applications in engineering and real life problems. Thus, we try to find efficient and accurate methods to solve these problems. The aim of this editorial is to overview the content of the Special Issue “Integral Equations: Theories, Approximations and Applications”.
T...

This study is connected with the nonoscillatory and oscillatory behaviour to the solutions
of nonlinear neutral impulsive systems with forcing term which is studied for various ranges of of the neutral coefficient. Furthermore, sufficient conditions are obtained for the existence of positive bounded solutions of the impulsive system. The mentioned...

Pleural effusion is an interruption of a pleural cavity in the lung wall. The lung and
chest wall reversal process leads to pleural fluid aggregation in the pleural space. The parietal lymphatic expansion occurs because of increased pleural fluid. This model has been developed to obtain new results of respiratory tract infections, and also investig...

The mathematical model for many problems is arising in different industries of natural science, basically formulated using differential, integral and integro-differential equations. The investigation of these equations is conducted with the help of numerical integration theory. It is commonly known that a class of problems can be solved by applying...

The mathematical model for many problems is arising in different industries of natural science, basically formulated using differential, integral and integro-differential equations. The investigation of these equations is conducted with the help of numerical integration theory. It is commonly known that a class of problems can be solved by applying...

The mathematical model for many problems is arising in different industries of natural science, basically formulated using differential, integral and integro-differential equations. The investigation of these equations is conducted with the help of numerical integration theory. It is commonly known that a class of problems can be solved by applying...

In this article, we proposed the concept of cone interval b-metric space over Banach algebras. Furthermore, some near-fixed point and near-common fixed point results are proved in the context of cone interval b-metric space and normed interval spaces for self-mappings under different types of generalized contractions. An example is presented to val...

The aim of this article is to investigate the effect of mass and heat transfer on unsteady squeeze flow of viscous fluid under the influence of variable magnetic field. The flow is observed in a rotating channel. The unsteady equations of mass and momentum conservation are coupled with the variable magnetic field and energy equations. By using some...

We invite you to submit your research papers in the field of modern mathematical physics
problems to this Special Issue, entitled “Modern Problems of Equations of Mathematical Physics and its Applications”, of the Global and Stochastic Analysis (GSA) journal. We seek studies on new
and innovative approaches to solving mathematical physics problem...

The aim of this study, is to present the fractional model of energy supply-demand system (ES-DS) based on the Caputo-Fabrizio derivative. The existence and uniqueness of the solution of the fractional model of ES-DS are proved. Also, we know that the obtained results from mathematical models with fractional order are more accurate than usual models...

Load leveling problems and energy storage systems can be modeled in the form of Volterra integral equations (VIE) with a discontinuous kernel. The Lagrange–collocation method is applied for solving the problem. Proving a theorem, we discuss the precision of the method. To control the accuracy, we apply the CESTAC (Controle et Estimation Stochastiqu...

Dear Colleagues,
We invite you to submit your research papers in the field of modern mathematical physics problems to this Special Issue, entitled “Modern Problems of Mathematical Physics
and Their Applications”, of the journal Axioms . We seek studies on new and innovative approaches to solving mathematical physics problems in linear and nonlinear...

In this paper, we present an explicit formula for the approximate solution of the Cauchy
problem for the matrix factorizations of the Helmholtz equation in a bounded domain on the plane.
Our formula for an approximate solution also includes the construction of a family of fundamental solutions for the Helmholtz operator on the plane. This family is...

Placement of fins in enclosures has promising utilization in advanced technological processes due to their role as heat reducing/generating elements such as in conventional furnaces, econ-omizers, gas turbines, heat exchangers, superconductive heaters and so forth. The advancement in technologies in power engineering and microelectronics requires t...

The aim of this paper is to apply the Said Ball curve (SBC) to find the approximate solution of fractional differential-algebraic equations (FDAEs). This method can be applied to solve various types of fractional order differential equations. Convergence theorem of the method is proved. Some examples are presented to show the efficiency and accurac...

We invite you to submit your research papers in the field of differential equations to this Special Issue, entitled "Differential Equations: Theories, Methods and Modern Applications", of the journal Axioms. We seek studies on new and innovative approaches for solving linear and nonlinear differential equations. We also aim to cover high-dimensiona...

Dear Colleagues, we invite you to submit a research paper in the area of integral equations to this Special Issue, entitled "Contemporary Methods and Applications of Integral Equations", of the journal Symmetry. We seek studies on new and innovative approaches to exactly or approximately solving the first and second kinds of integral equations in l...

Two collocation-based methods utilizing the novel Bessel polynomials (with positive
coefficients) are developed for solving the non-linear Troesch’s problem. In the first approach, by expressing the unknown solution and its second derivative in terms of the Bessel matrix form along with some collocation points, the governing equation transforms int...

The aim of this editorial is to overview the content of the special issue “Integral Equations: Theories, Approximations and Applications”.
https://www.mdpi.com/journal/symmetry/special_issues/Integral_Equations_Theories_Applications_Approximations

The aim of this paper is to apply the Taylor expansion method to solve the first and second kinds Volterra integral equations with Abel kernel. This study focuses on two main arithmetics: the FPA and the DSA. In order to apply the DSA, we use the CESTAC method and the CADNA library. Using this method, we can find the optimal step of the method, the...