期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 63, 期 11, 页码 1557-1568出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.03.050
关键词
Adomian decomposition method (ADM); Adomian polynomials; Nonlinear differential equations; Numerical integration methods
资金
- Shanghai Municipal Education Commission [11YZ225]
In this paper, we develop new numeric modified Adomian decomposition algorithms by using the Wazwaz-El-Sayed modified decomposition recursion scheme, and investigate their practicality and efficiency for several nonlinear examples. We show how we can conveniently generate higher-order numeric algorithms at will by this new approach, including, by using examples, 12th-order and 20th-order numeric algorithms. Furthermore, we show how we can achieve a much larger effective region of convergence using these new discrete solutions. We also demonstrate the superior robustness of these numeric modified decomposition algorithms including a 4th-order numeric modified decomposition algorithm over the classic 4th-order Runge-Kutta algorithm by example. The efficiency of our subroutines is guaranteed by the inclusion of the fast algorithms and subroutines as published by Duan for generation of the Adomian polynomials to high orders. (C) 2012 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据