Numerical Solution of 12th Order Boundary Value Problems by Using Homotopy Perturbation Method

被引：12
|
作者：
Othman, Mohamed I. A. [1 ]
Mahdy, A. M. S. [1 ]
Farouk, R. M. [1 ]
机构：
[1] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2010年 / 1卷 / 01期
关键词：
HPM; linear and non-linear problems; boundary value problem; Approximate solution;
D O I：
10.22436/jmcs.001.01.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a homotopy-perturbation method (HPM) [1-6, 26-28] is used to solve both linear and nonlinear Nth boundary value problems with two point boundary conditions for ninth-order, tenth-order and twelfth-order. By applying (HPM) on three examples the numerical results are compared with the exact solution, to show effectiveness and accuracy of the method.
引用
收藏
页码：14 / 27
页数：14
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