New algorithm for the decomposition solution of nonlinear differential equations

被引：24

作者：

Behiry, S. H.

Hashish, H.

El-Kalla, I. L. ^{[1
]}

Elsaid, A.

机构：

[1] Wolverhampton Univ, Sch Engn & Built Environm, Mfg & Syst Engn Dept, Telford TF2 9NT, Shrops, England

[2] Univ Mansoura, Fac Engn, Math & Engn Phys Dept, Mansoura, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 04期

关键词：

adomian decomposition method; adomian polynomials; nonlinear differential equations;

D O I：

10.1016/j.camwa.2006.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new algorithm for applying the Adomian decomposition method to nonlinear differential and partial differential equations. The proposed algorithm does not require the explicit evaluation of Adomian polynomials to approximate the nonlinearity term. The numerical experiments show that the proposed algorithm is more accurate at larger values for time, though at the cost of more computations. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：459 / 466

页数：8

共 15 条

[1] Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method [J].