Application of the optimal homotopy asymptotic method for the solution of the Korteweg-de Vries equation

被引：20
作者：
Idrees, M. [1 ]
Islam, S. [2 ]
Tirmizi, S. I. A. [1 ]
Haq, Sirajul [1 ]
机构：
[1] Ghulam Ishaq Khan Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Nwfp, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 3-4期
关键词：
Asymptotic method; Initial value and time-dependent partial differential equations; Perturbation; FLUID; FLOW;
D O I：
10.1016/j.mcm.2011.10.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The Optimal Homotopy Asymptotic Method (OHAM), a semi-analytic approximate technique for the treatment of time-dependent partial differential equations, has been used in this presentation. To see the effectiveness of the method, we consider Korteweg-de Vries (KdV) equation with different initial conditions. It provides us with a convenient way to control the convergence of approximate solutions. The obtained solutions show that the OHAM is more effective, simpler and easier than other methods. The results reveal that the method is explicit. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1324 / 1333
页数：10
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