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

页码：14 / 27

页数：14

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