Results 1 to 10 of about 450,807 (339)

Numerical Method for Fractional Fuzzy Integral Equations [PDF]

, 2021
Abstract In the present work we construct an iterative method for the numerical solution of fuzzy fractional Volterra integral equations, by using the technique of fuzzy product integration. The existence and uniqueness of the solution and the uniform boundedness of the terms of the Picard iterations are proved. The convergence of the iterative
Alexandru Mihai Bica, Shokrollah Ziari, Zoltan Satmari   +2 more
openaire   +2 more sources

Numerical Methods for Solving Fredholm Integral Equations of Second Kind [PDF]

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
doaj   +4 more sources

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models [PDF]

Abstract and Applied Analysis, 2014
Santanu Saha Ray, Om P. Agrawal, R. K. Bera, Shantanu Das, T. Raja Sekhar   +4 more
doaj   +2 more sources

NUMERICAL METHODS FOR SOLVING LINEAR FREDHOLMVOLTERRA INTEGRAL EQUATIONS

Journal of Al-Nahrain University Science, 2008
S. J. Majeed, H. H. Omran
openaire   +3 more sources

A numerical method for multidimensional Volterra integral equations

Applied Mathematical Sciences, 2022
In this paper, we introduce a new numerical procedure to solve multi-dimensional Volterra integral equations, based on the weighted mean-value theorem. Our method allows to determine a system of nonlinear equations, where the rst one is obtained via the application of the theoretical results, and the remaining ones are built through a Picard-like ...
Immacolata Oliva, Antonio Luciano Martire   +1 more
openaire   +1 more source

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
doaj   +1 more source

A Unified Formulation of Analytical and Numerical Methods for Solving Linear Fredholm Integral Equations

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
doaj   +1 more source

A boundary integral equation method for the fluid-solid interaction problem

Communications in Analysis and Mechanics, 2023
In this paper, a boundary integral equation method is proposed for the fluid-solid interaction scattering problem, and a high-precision numerical method is developed.
Yao Sun, Pan Wang, Xinru Lu , Bo Chen
doaj   +1 more source

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, Jin Xie, Zhi Liu, Jiahuan Huang   +3 more
doaj   +1 more source

An Effective Local Radial Basis Function Method for Solving the Delay Volterra Integral Equation of Nonvanishing and Vanishing Types

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, Mahmoud Paripour, Nasrin Karamikabir   +2 more
doaj   +1 more source