Solving Nonlinear Boundary Value Problems Using He's Polynomials and Pade Approximants

被引：9

作者：

Mohyud-Din, Syed Tauseef ^{[1
,2
]}

Yildirim, Ahmet ^{[3
]}

机构：

[1] Air Univ, Inst Aerosp & Avion, Islamabad 44000, Pakistan

[2] COMSATS Inst Informat Technol, Lahore, Pakistan

[3] Ege Univ, Dept Math, Fac Sci, TR-35100 Bornova, Turkey

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷

关键词：

VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; MODIFIED DECOMPOSITION METHOD; GENERALIZED KDV EQUATIONS; TRAVELING-WAVE SOLUTIONS; THOMAS-FERMI EQUATION; ASYMPTOTIC METHODS; LAYER EQUATION;

D O I：

10.1155/2009/690547

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We apply He's polynomials coupled with the diagonal Pade approximants for solving various singular and nonsingular boundary value problems which arise in engineering and applied sciences. The diagonal Pade approximants prove to be very useful for the understanding of physical behavior of the solution. Numerical results reveal the complete reliability of the proposed combination. Copyright (C) 2009 S. T. Mohyud-Din and A. Yildirim.

引用

页数：17

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