On the homotopy analysis method for the exact solutions of Helmholtz equation

被引：9
作者：
Alomari, A. K. [1 ]
Noorani, M. S. M. [1 ]
Nazar, R. [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 04期
关键词：
VARIATIONAL ITERATION METHOD; ANALYTIC SOLUTION; GRADE FLUID; FLOW;
D O I：
10.1016/j.chaos.2008.07.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the exact solutions of Helmholtz equation are obtained by means of the homotopy analysis method (HAM). This analytical method is employed to give approximate analytical solutions of Helmholtz equation. The auxiliary parameter h in the HAM Solutions has provided a convenient way of controlling the convergence region of series solutions. It is also shown that the solutions which are obtained by the Adomian decomposition method (ADM) and variational iteration method (VIM) are special cases of the solution obtained by HAM, (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1873 / 1879
页数：7
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