Modified Adomian Decomposition Method for Van der Pol equations

Ramana, PV and Prasad, Raghu BK (2014) Modified Adomian Decomposition Method for Van der Pol equations. In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 65 . pp. 121-132.

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Abstract

In the paper, the well known Adomian Decomposition Method (ADM) is modified to solve the parabolic equations. The present method is quite different than the numerical method. The results are compared with the existing exact or analytical method. The already known existing Adomian Decomposition Method is modified to improve the accuracy and convergence. Thus, the modified method is named as Modified Adomian Decomposition Method (MADM). The Modified Adomian Decomposition Method results are found to converge very quickly and are more accurate compared to ADM and numerical methods. MADM is quite efficient and is practically well suited for use in these problems. Several examples are given to check the reliability of the present method. Modified Adomian Decomposition Method is a non-numerical method which can be adapted for solving parabolic equations. In the current paper, the principle of the decomposition method is described, and its advantages are shown in the form of parabolic equations. (C) 2014 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).

Item Type:	Journal Article
Publication:	INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND.
Keywords:	Parabolic problems; Initial value problems; Modified Adomian Decomposition Method; Analytical solution
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	08 Nov 2014 05:02
Last Modified:	08 Nov 2014 05:02
URI:	http://eprints.iisc.ac.in/id/eprint/50155

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