Solving a nonlinear system of second order boundary value problems

被引：164

作者：

Geng, Fazhan ^{[1
]}

Cui, Minggen ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Shandong 264209, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 02期

关键词：

analytical solution; nonlinear second order differential system; reproducing kernel;

D O I：

10.1016/j.jmaa.2006.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a method is presented to obtain the analytical and approximate solutions of linear and nonlinear systems of second order boundary value problems. The analytical solution is represented in the form of series in the reproducing kernel space. In the mean time, the approximate solution u(n)(x) is obtained by the n-term intercept of the analytical solution and is proved to converge to the analytical solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1167 / 1181

页数：15

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