On the numerical solution of linear and nonlinear volterra integral and integro-differential equations

被引：18

作者：

Mohsen, Adel ^{[2
]}

El-Gamel, Mohamed ^{[1
]}

机构：

[1] Mansoura Univ, Fac Engn, Dept Math Sci, Mansoura, Egypt

[2] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Cairo, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期

关键词：

Sinc function; Collocation method; Volterra; Integro-differential equations; SINC-COLLOCATION METHOD; BOUNDARY-VALUE-PROBLEMS; GALERKIN METHOD; TAU-METHOD; BASES; KIND;

D O I：

10.1016/j.amc.2010.08.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sinc bases are developed to approximate the solutions of linear and nonlinear Volterra integral and integro-differential equations. Properties of these sinc bases and some operational matrices are first presented. These properties are then used to reduce the integral and integro-differential equations to systems of linear or nonlinear algebraic equations. Numerical examples illustrate the pertinent features of the method and its applicability to a large variety of problems. The examples include convolution type, singular as well as singularly-perturbed problems. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3330 / 3337

页数：8

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