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In this paper we used Hermite polynomial with Galerkin , collocation and least square methods for solving fredholm integral equations of the first kind (F.I.E.F.K) with degenerated kernel .The algorithms and computer app...

In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...

The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combin...

The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of scien...

Abstract The Boltzmann transport equation is the basic equation for solving the transport of charge carrier (electrons, holes) problems in semiconductor devices. The distribution function has been obtained from the solut...

Abstract The purpose of this research combining the algorithm of superposition with multiple shooting and interpolation designing for solving Stiff linear boundary value problems in ordinary differential equations. The ...

The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allo...

Abstract The drift-diffusion model is considered as one of the most important models which is used to describe the characteristics of semiconductor devices and can be applied to wide range of applications started from mi...

We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacement‐velocity‐multiplier and to the reduced ...

Abstract:- In this paper, we found an approximate solution for solving linear Fredholm integro-differential equation, by using Aitken's method with the help of the successive iteration method. Some numerical example were...

In this paper we present a summary of numerical methods for solving free surface and two fluid flow problems. We will focus the attention on level set formulations extensively used in the context of the finite element me...

In this paper, we report on multiphysics fullwave techniques in the frequency (energy)‐domain and the time‐domain, aimed at the investigation of the combined electromagnetic‐coherent transport problem in carbon bas...

Abstract This study presents a numerical framework for analyzing dispersion and wave propagation in spatiotemporally modulated metamaterials. A one-dimensional periodic spring–mass system with space- and time-dependent...

Fractures are common in the Earth  crust due to different factors, for instance, tectonic stresses and natural or artificial hydraulic fracturing caused by a pressurized fluid. A dense set of fractures  behaves as an e...

This work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are ...

A considerable part of the energy of the traditional terahertz metasurface sensor located in the substrate/dielectric layer, which cannot contact and interact with the analyte, resulting in energy loss and greatly limiti...

In this study we investigate the approximation of the solution for nonlinear system of integro-differential equations of Volterra type with boundary conditions. The numerical-analytic method of periodic solutions for ord...

ABSTRACT In this study we investigate the existence and approximation of the periodic solutions for nonlinear system of differential equations of third order with boundary conditions. The numerical-analytic method has be...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for certain systems of second-order of integro-differential equations unsolvable for the highest derivative by using the numerical...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounde...

ABSTRACT In this paper we study the existence and approximation of the periodicsolutions for system of second order nonlinear differential equations according to Lebesgue integrable concept and by assuming that each of ...

In this paper we investigate the existence and approximation for nonlinear system of integro-differential equation with boundary integral conditions by using the numerical-analytic method for investigating of a periodic ...

ABSTRACT In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro-differential equations of Volterra type. The numerical-analytic method has been used to stu...

Abstract This study develops and analyzes a Caputo fractional-order SEIHRD model to investigate the transmission dynamics and control of Ebola virus disease. The model ensures positivity, boundedness, and invariance of f...