A New Taylor Collocation Method for Nonlinear Fredholm-Volterra Integro-Differential Equations

被引：7

作者：

Bulbul, Berna ^{[1
]}

Gulsu, Mustafa ^{[1
]}

Sezer, Mehmet ^{[1
]}

机构：

[1] Mugla Univ, Fac Sci, Dept Math, TR-4800 Mugla, Turkey

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 05期

关键词：

nonlinear integro-differential equations; Taylor polynomials and series; collocation method; APPROXIMATE SOLUTION; POLYNOMIAL SOLUTION; INTEGRAL-EQUATIONS; NUMERICAL-SOLUTION; SYSTEM;

D O I：

10.1002/num.20470

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to present an efficient numerical procedure for solving nonlinear integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation which corresponds to a system of nonlinear algebraic equations with unkown Taylor coefficients. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer program written in Maple10. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1006-1020,2010

引用

页码：1006 / 1020

页数：15

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