Samad Noeiaghdam

• Ph.D. of Applied Mathematics
• Research Professor at Henan Academy of Sciences

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 study investigates the solutions of neutral functional integro-differential equations and second order neutral functional differential equations with delays and random effects. The Kakutani fixed-point theorem is used to prove the existence of mildly random solutions in the stochastic domain and to launch this investigation. The research heavi...

This Special Issue focuses on the application of Artificial Intelligence (AI) in Fluid Mechanics. The rapid advancements in AI are transforming various engineering disciplines, and Fluid Mechanics is no exception. The goal of this Special Issue is to highlight the latest research and innovations where AI methods are applied to solve complex problem...

Heat and mass transfer are fundamental processes in numerous engineering, environmental, and industrial applications, ranging from energy systems and thermal management to climate modeling and biomedical engineering. With the growing complexity of these systems, traditional numerical methods face challenges in accuracy, computational efficiency, an...

Nanofluids consist of nanometer-sized particles suspended in a base fluid such as water, ethylene glycol, or oil, and are designed through engineering. These fluids are mainly defined by Brownian motion, allowing them to counteract the gravitational settling of the nanoparticles. Nanofluids have found extensive applications across a wide range of...

The primary objective of this study is to present a new technique and library designed to validate the outcomes of numerical methods used for addressing various issues. This paper specifically examines the reverse osmosis (RO) model, a well-known water purification system. A crucial aspect of this problem involves solving an integral that is part o...

The mathematical model for non-Newtonian magnetohydrodynamics flows across a vertically stretched surface with non-linear thermal radiation, mass and heat transfer rates, thermophoretic and Brownian movements, bio-convection, and motile microbes considered in the present work. It is possible to regulate the nanomaterial suspension in the nanofluid...

Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature, solving such systems often presents significant difficulties and challenges. In this study, we propose a method utilizing Physics-Informed Neural Networks (PINNs) to solv...

The flow and heat transfer characteristics of a thermo-micropolar hybrid nanofluid (TMPHN) over a shrinking perpendicular surface are studied and analyzed in this paper. The TMPHN contains alumina and copper nanoparticles suspended in an aqua-base fluid. The adopted approach involves taking into account the masses of the base fluid and nanoparticle...

Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature, solving such systems often presents significant difficulties and challenges. In this study, we propose a method utilizing Physics-Informed Neural Networks (PINNs) to solv...

This study investigates the existence and uniqueness of solutions to Volterra integral equations with discontinuous kernels in both linear and nonlinear cases. The problem is two-dimensional, and the collocation method is employed to analyze the equations. The research aims to provide a comprehensive understanding of the solution properties of thes...

This study examines the behavior of the Casson nanofluid bioconvection flow around a spinning disc under various influences, including gyrotactic microorganisms, multiple slips, and thermal radiation. Notably, it accounts for the reversible nature of the flow and incorporates the esterification process. The aim of this study is to investigate the i...

Background The development of heat transfer devices used for heat conversion and recovery in several industrial and residential applications has long focused on improving heat transfer between two parallel plates. Numerous articles have examined the relevance of enhancing thermal performance for the system's performance and economics. Heat transpor...

This research endeavors to conduct a comprehensive numerical investigation into the unsteady mixed convection phenomenon observed in the flow of a stagnation point Cu–Al 2 O 3 /H 2 O hybrid nanofluid past a vertical cylinder under an opposing regime. Initially, the nanofluid’s complex behavior is analytically characterized, and leveraging suitable...

The objective of the present exploration is to examine impactions of radiation, a non-uniform intensity source, and a permeable medium on a temperamental MHD blended convective micropolar liquid over an extended sheet subject to Joule heating. To transform the formulated problem into ordinary differential equations, the applicable similarity transf...

This study investigates the heat and mass transmission behavior in an unsteady magnetohydrodynamic (MHD) movement of nanofluids over an inclined permeable surface, with applications in enhancing thermal management systems such as automotive cooling and industrial heat exchangers. The model specifically examines the consequence of thermal diffusion...

Temperature and liquid flow monitoring are required in many industrial applications in order to maximize machine performance. When exploring polymers, fabricating synthetic films and transparent materials, and manufacturing metal-based equipment, frictional forces and thermal flow rates need to be controlled. The significance of the study of promin...

This study explores the heat transfer and fluid flow characteristics of an incompressible Williamson ternary hybrid nanofluid (WTHNF) over an unsteady stretching surface, influenced by external electric and magnetic fields, thermal radiation, and a porous boundary. The WTHNF consists of ZrO 2 , MoS 2 , and GO nanoparticles suspended in water. By ap...

In our study, the integration of fuzzy graphs into classical graph theory gives rise to a novel concept known as "Fuzzy Super Subdivision ." Let SS f (G) be the fuzzy super subdivision graphs, by substituting a complete bipartite graph k (2,m) (m = 1, 2,. . .) for each edge of a fuzzy graph. The attributes and properties of this newly proposed conc...

About the conference ICMSE2024 aims to bring together leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of Mechanical Science and Engineering. It also provides a premier interdisciplinary platform for researchers, practitioners, and educators to present and d...

Transferring biological fluid through arteries is a topic that has garnered serious interest in recent times, especially when it pertains to applications such as drug delivery. In our body, arteries serve as the primary conduits for blood flow and this study aims to model the blood flow in this situation. The working fluid is essentially pure blood...

In the present paper, on the basis of the Carleman matrix, approximate solutions of the Cauchy problem for matrix factorizations of the Helmholtz equation are found in explicit form.

In this paper, we are thus motivated to define and introduce the extended fuzzy-valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph. In this way, we study important concepts such as fuzzy indicator function and fuzzy infim...

This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters. In our approaches, the time discretization is first performed by the well-known Rothe method and Taylor series procedures, which reduce t...

Here, the mass-based hybridity method and the Reiner-Philippoff model are used in tandem to investigate the forced convection of Au-Cu/blood nanofluid flow over a nonlinear shrinking/stretching sheet with radiation and suction influences. It is claimed that the masses of base fluid (blood) and nanoparticles (Au and Cu) as an alternative to the nano...

Non-Newtonian fluids are essential in situations where heat and mass transfer are involved. Heat and mass transfer processes increase efficiency when nanoparticles (0.01≤φ≤0.03) are added to these fluids. The present study implements a computational approach to investigate the behavior of non-Newtonian nanofluids on the surface of an upright cone....

The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least one solution to our proposed system. Furthermore,...

This research focuses on addressing both linear and nonlinear fuzzy Volterra integral equations that feature piecewise continuous kernels. The problem is tackled using the method of successive approximations. The study discusses the existence and uniqueness of solutions for these fuzzy Volterra integral equations with piecewise kernels. Numerical r...

This research work deals with two spectral matrix collocation algorithms based on (novel) clique functions to solve two classes of nonlinear nonlocal elliptic two-points boundary value problems (BVPs) arising in diverse physical models. The nonlinearity together with nonlocality makes the models so difficult to solve numerically. In both matrix met...

In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method.

In recent years, the world has faced many destructive diseases that have taken many lives across the globe. To resist these diseases, humankind needs medicine to control, cure, and predict the behaviour of such problems. Recently, the Corona virus, which primarily affects the lungs, has threatened the globe. Similarly, tobacco-related illnesses imp...

This study aims to analyze a Bayesian regularization backpropagation algorithm for micropolar ternary hybrid nanofluid flow over curved surfaces with homogeneous and heterogeneous reactions, Joule heating and viscous dissipation. The ternary hybrid nanofluid consists of nanoparticles of titanium oxide (TiO2), copper oxide (CuO), and silicon oxide (...

This ongoing work is vehemently dedicated to the investigation of a class of ordinary linear Volterra type integro-differential equations with fractional order in numerical mode. By replacing the unknown function by an appropriate multilayered feed-forward type neural structure, the fractional problem of such initial value is changed into a course...

This work investigates the MHD flow of three chemically reactive nanofluids Fe3O4−H2O, Cu−H2O and Ag−H2O over a stretching sheet with the effects of Forchheimer number and thermal radiation. A fourth order RK-shooting technique is used to solve the governing system equations, which has been turned into a non-linear ordinary differential equations b...

The flow of fluid past a stretching sheet under heat and mass transfer analysis is significant because it has numerous applications in engineering and technology, including metal spinning, polymer extrusion, the manufacture of glass fibres, and metal casting etc. The current article investigates the effects of thermal radiation and heat source/sink...

Online user security is strongly reliant on a number of factors. One of the most important steps in enhancing data and communication security on well-known websites and a variety of internet services is adhering to security standards and using reliable and cutting-edge technology. These standards and technologies were developed and tested recently....

The heat transfer rate of the MHD nanofluid blood flow through a stenosed composite artery with hematocrit-dependent viscosity and Hall effect is optimized by using the response surface methodology (RSM). An experimental design and sensitivity analysis based on RSM are employed to examine the impact of different physical parameters and how changes...

The current study investigates the laminar flow of boundary layer using a porous surface shrinking exponentially under varying magnetic field, suction/injection, radiation on velocity and thermal slips. The dimensionless nonlinear differential equations were also defined in terms of governing partial differential equations and applying similarity t...

In this article, we have derived a new method to study the oscillatory and asymptotic properties for third-order noncanonical functional differential equations with both positive and negative terms of the form \begin{document}$ \begin{equation*} (p_2 (t)(p_1 (t) x'(t) )')'+a(t)g(x(\tau(t)))-b(t)h(x(\sigma(t)) = 0 \end{equation*} $\end{document} Fir...

In this study we consider linear and nonlinear Volterra integral equations (VIEs) of the second kind with discontinuous kernel. A novel iterative method using floating point arithmetic (FPA) is presented to solve the problem. Also a convergence theorem and error analysis of the method are presented. The main novelty of this study is to validate the...

The present investigation is carried out to examine the effect of shape factors on the heat and mass transfer flow of nanofluid (Kerosene-Graphene Oxide) and hybrid nanofluid (Kerosene- Molybdenum disulphide and Graphene Oxide) in the presence of thermal radiation and species diffusion in an inclined two-phase porous channel. The Darcy and viscous...

This article examines the oscillatory behaviour of solutions to a particular class of conformable elliptic partial differential equations of the Emden-Fowler type. Using the Riccati method, we create some new necessary conditions for the oscillation of all solutions. The previously discovered conclusions for the integer order equations are expanded...

Here, the squeezing unsteady 2-dimensional incompressible hybrid nanofluid flow between two collateral sheets has been investigated numerically, considering the influences of magnetic field and the mutable thermal conductivity. The solid-particles are the magnetite (Fe3O4) and the carbon nanotubes (CNTs) inserted in the base liquid (water). To give...

Casson flow ferromagnetic liquid blood flow over stretching region is studied numerically. The domain is influence by radiation and blood flow velocity and thermal slip conditions. Blood acts an impenetrable magneto-dynamic liquid yields governing equations. The conservative governing nonlinear partial differential equations, reduced to ODEs by the...

We use computational methods to examine the behavior of a nanofluid in three dimensions flows through a circular cylinder whose radius varies sinusoidally. The fundamental equations are derived and simplified to highly nonlinear ODEs by using similarity transformations. The bvp4c performs a numerical solution to the resultant nonlinear system. Sher...

This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to reduce the problem into a nonlinear system of equations utilizing the spectral collocation meth...

In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-valued fuzzy H-Fox function as a control function,...

Controlling underactuated open-loop unstable systems is challenging. In this study, first, both nonlinear and linear models of a dual-axis reaction wheel pendulum (DA-RWP) are extracted by employing Lagrangian equations which are based on energy methods. Then to control the system and stabilize the pendulum's angle in the upright position, fuzzy lo...

To study the kinematics of flow rate and ventricular dilatation, an analytical perturbation approach of hydrocephalus has been devised. This research provides a comprehensive investigation of the characteristics of cerebrospinal fluid (CSF) flow and pressure in a hydrocephalic patient. The influence of hydrocephalic CSF, flowing rotationally with r...

The ongoing study has been vehemently allocated to propound an ameliorated α-weighted generalized approximation of an arbitrary fuzzy number. This method sets out to lessen the distance between the original fuzzy set and its approximation. In an effort to elaborate the study, formulas are designed for computing the ameliorated approximation by usin...

This study focuses on an incompressible non-Newtonian nanofluid in a 2-dimensional transient boundary layer through a cone. The Arrhenius activation energy and radiation absorption are both accounted for the non-Newtonian nanofluid model. The Runge-Kutta integration method via ODE45 MATLAB bvp4c is used and the converted coupled nonlinear equations...

In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense. Moreover, this paper introduced a new concept to find the Hyers-Ulam stability of the differential equatio...

Brownian motion and thermophoresis impacts are discussed in relation to a tangent hyperbolic fluid encircling a sphere subject to a convective boundary condition and a Biot number. Concentration boundary conditions involving a wall normal flow of zero nanoparticles are an unexplored area of research. The governing non-linear BVP is transformed into...

Controlling underactuated open-loop unstable systems is challenging. In this study, first, both nonlinear and linear models of a dual-axis reaction wheel pendulum (DA-RWP) are extracted by employing Lagrangian equations which are based on energy methods. Then to control the system and stabilize the pendulum's angle in the upright position, fuzzy lo...

This paper investigates the properties and results of (Q,L)-fuzzy soft subhemirings ((Q,L)-FSSHR) of a hemiring R. e motivation behind this study is to utilize the concept of L-fuzzy soft set of a hemiring and to derive a few speci c outcomes on (Q, L)-FSSHR. e concepts of strongest Q-fuzzy soft set relation, Q-isomorphism, pseudo-Q-fuzzy soft cose...

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...