Results 1 to 10 of about 454 (68)
Algorithms, 2021 This article is concerned with the construction of approximate analytic solutions to linear Fredholm integral equations of the second kind with general continuous kernels. A unified treatment of some classes of analytical and numerical classical methods,
Efthimios Providas
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Methods and effective algorithms for solving multidimensional integral equations
Российский технологический журнал, 2022 Objectives. Integral equations have long been used in mathematical physics to demonstrate existence and uniqueness theorems for solving boundary value problems for differential equations. However, despite integral equations have a number of advantages in
A. B. Samokhin
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
Journal of Chemistry, 2020 In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
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Journal of Mathematics, 2022 This paper presents a numerical method for solving a class of the delay Volterra integral equation of nonvanishing and vanishing types by applying the local radial basis function method.
Neda Khaksari +2 more
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Numerical Methods for Solving Fredholm Integral Equations of Second Kind
Abstract and Applied Analysis, 2013 Integral equation has been one of the essential tools for various areas of applied mathematics. In this paper, we review different numerical methods for solving both linear and nonlinear Fredholm integral equations of second kind.
S. Saha Ray, P. K. Sahu
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An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods
Mathematics, 2023 In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations
Discrete Dynamics in Nature and Society, 2010 Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions ...
E. Messina +3 more
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Projection methods for integral equations in epidemic
Mathematical Modelling and Analysis, 2002 In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic.
L. Hacia
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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]
مجلة التربية والعلم, 2023 Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
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