A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems

被引：48

作者：

Geng, Fazhan ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 213卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear; Fourth-order boundary value problem; New reproducing kernel Hilbert space method; EQUATION;

D O I：

10.1016/j.amc.2009.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems. It is a relatively new analytical technique. The solution obtained by using the method takes the form of a convergent series with easily computable components. This paper will present a numerical comparison between our method and other methods for solving an open fourth-order boundary value problem presented by Scott and Watts. The method is also applied to a nonlinear fourth-order boundary value problem. The numerical results demonstrate that the new method is quite accurate and efficient for fourth-order boundary value problems. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：163 / 169

页数：7

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