The Comparative Boubaker Polynomials Expansion Scheme (BPES) and Homotopy Perturbation Method (HPM) for solving a standard nonlinear second-order boundary value problem

被引：12

作者：

Kocak, H. ^{[2
]}

Yildirim, A. ^{[2
]}

Zhang, D. H. ^{[1
]}

Mohyud-Din, S. T. ^{[3
]}

机构：

[1] S China Univ Technol, Guangzhou, Guangdong, Peoples R China

[2] Ege Univ, TR-35100 Bornova, Ismir, Turkey

[3] HITEC Univ Taxila Cantt, Taxila Cantt, Pakistan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 1-2期

关键词：

Analytical solution; Boundary value problem; Homotopy Perturbation Method (HPM); 4q-Boubaker Polynomials Expansion Scheme (BPES); FINITE-DIFFERENCE METHOD; KEYHOLE MODEL; EQUATIONS; SYSTEM; TEMPERATURE; DYNAMICS; POINT; FLOW;

D O I：

10.1016/j.mcm.2011.02.031

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we propose an analytical solution to a nonlinear second-order boundary value problem using the Homotopy Perturbation Method (HPM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES). Both methods have been applied to a particular differential problem. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：417 / 422

页数：6

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