학술논문
The solution of coupled Burgers' equations using Adomian-Pade technique
Document Type
Author abstract
Source
Applied Mathematics and Computation. June 15, 2007, Vol. 189 Issue 2, p1034, 14 p.
Subject
Language
English
ISSN
0096-3003
Abstract
To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.amc.2006.11.179 Byline: Mehdi Dehghan, Asgar Hamidi, Mohammad Shakourifar Keywords: Adomian Decomposition Method (ADM); Modified Adomian Decomposition Method (MADM); Pade approximation; Heat equation; Coupled Burgers' equations Abstract: The purpose of this study is to implement ADM-PADE (MADM-PADE) technique, which is a combination of Adomian decomposition method (modified Adomian decomposition method) and Pade approximation, for solving homogeneous (inhomogeneous) two dimensional parabolic equation. Also, we apply ADM-PADE technique to solve coupled Burgers' equations. The results obtained by ADM-PADE (MADM-PADE) techniques are compared to those obtained by using ADM (MADM) alone. The numerical results demonstrate that ADM-PADE (MADM-PADE) technique gives the approximate solution with faster convergence rate and higher accuracy than using ADM (MADM). Author Affiliation: Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran