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Research Article Open access CC BY 3.0

Sinc-collocation Algorithm for Solving Nonlinear Fredholm Integro-differential Equations

Adel Mohsen, Mohamed El-Gamel

Journal of Advances in Mathematics and Computer Science · pp. 1693–1700 · Published 9 Apr 2014

10.9734/BJMCS/2014/8247

Abstract

This paper is concerned with the numerical solution using sinc-collocation method of nonlinear Fredholm integro-differential equations. The algorithm is based on replacing the exact solution by a linear combination of sinc functions. The resulting nonlinear equations are treated using Newton method. Numerical examples illustrate the pertinent features of the method and its applicability to a large variety. The examples include convolution type, singular as well as singularly-perturbed problems.

Sinc function Collocation method Nonlinear Fredholm integral equation Integro-differential equation

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Cited by 4

A new solution method for nonlinear fractional integro-differential equations

Sertan Alkan · Discrete and Continuous Dynamical Systems - S · 2015

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