The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations

被引：153

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 04期

关键词：

Volterra integro-differential equations; Laplace transform method; Adomian decomposition method; INTEGRAL-EQUATIONS;

D O I：

10.1016/j.amc.2010.02.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a combined form of the Laplace transform method with the Adomian decomposition method is developed for analytic treatment of the nonlinear Volterra integro-differential equations. The combined method is capable of handling both equations of the first and second kind. Illustrative examples will be examined to support the proposed analysis. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1304 / 1309

页数：6

共 6 条

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[2]

Kanwal R. P, 1997, Linear integral equations: Theory and technique, Vsecond

[3]

Linz P., 1984, ANAL NUMERICAL METHO

[4]

Wazwaz A.M., 1997, A First Course in Integral Equations