A numerical solution of the vibration equation using modified decomposition method

被引：28
作者：
Das, S. [1 ]
机构：
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
JOURNAL OF SOUND AND VIBRATION | 2009年 / 320卷 / 03期
关键词：
PARTIAL-DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.jsv.2008.08.029
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In the present paper the well-known vibration equation for very large membrane with the help of powerful modification of Adomian decomposition method proposed by Wazwaz [A reliable modification of Adomian decomposition method, Applied Mathematics and Computation 102 (1999) 77-86] has been solved. By using initial value, the explicit solutions of the equation for different cases have been derived, which accelerate the rapid convergence of the series solution. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented graphically. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：576 / 583
页数：8
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