A novel method for nonlinear singular fourth order four-point boundary value problems

被引：19

作者：

Li, X. Y. ^{[1
]}

Wu, B. Y. ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear; Singular fourth order four-point boundary value problems; Homotopy perturbation method; Reproducing kernel method; HOMOTOPY PERTURBATION METHOD; RELATIVISTIC (AN)HARMONIC OSCILLATOR; ORDINARY DIFFERENTIAL-EQUATION; APPROXIMATION; EXISTENCE; SYSTEM;

D O I：

10.1016/j.camwa.2011.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel method is proposed for solving nonlinear singular fourth order four-point boundary value problems (BVPs) by combining advantages of the homotopy perturbed method (HPM) and the reproducing kernel method (RKM). Some numerical examples are presented to illustrate the strength of the method. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：27 / 31

页数：5

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