Homotopy perturbation method for solving sixth-order boundary value problems

被引：75
|
作者：
Noor, Muhammad Aslam [1 ]
Mohyud-Din, Syed Tauseef [1 ]
机构：
[1] Inst Informat Technol, COMSATS, Dept Math, Islamabad, Pakistan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 12期
关键词：
homotopy perturbation; non-linear problems; integral equations; boundary value problems; approximate solution;
D O I：
10.1016/j.camwa.2007.11.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of the homotopy perturbation method. We have also considered an example where the homotopy perturbation method is not reliable. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2953 / 2972
页数：20
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