Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions

被引：61

作者：

Babolian, E. ^{[1
]}

Masouri, Z. ^{[1
]}

Hatamadeh-Varmazyar, S. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Elect Engn, Sci & Res Branch, Tehran, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 02期

关键词：

Nonlinear integro-differential equations; Direct method; Vector forms; Triangular functions; Operational matrix;

D O I：

10.1016/j.camwa.2009.03.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm integro-differential equations is proposed. The method is based on new vector forms for representation of triangular functions and its operational matrix. This approach needs no integration, so all calculations can be easily implemented. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：239 / 247

页数：9

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