Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method

被引：73

作者：

Iqbal, S. ^{[2
]}

Idrees, M. ^{[3
]}

Siddiqui, A. M. ^{[4
]}

Ansari, A. R. ^{[1
]}

机构：

[1] Gulf Univ Sci & Technol, Dept Math & Nat Sci, Hawally 32093, Kuwait

[2] PINSTECH, Theoret Plasma Phys Div, Islamabad 44000, Pakistan

[3] Ghulam Ishaq Khan Inst Engn Sci & Technol, Fac Engn Sci, Topi 23460, Swabi, Pakistan

[4] Penn State Univ, Dept Math, York, PA 17403 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 10期

关键词：

Optimal homotopy asymptotic method; Klein-Gordon equations; Partial differential equations; DECOMPOSITION METHOD; DIFFERENTIAL-EQUATIONS; PERTURBATION METHOD; FLOW; FLUID;

D O I：

10.1016/j.amc.2010.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein-Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2898 / 2909

页数：12

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