Improved Adomian decomposition method (solving nonlinear non-homogenous initial value problem)

Tamer A. Abassy

doi:10.1016/j.jfranklin.2011.04.004

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Improved Adomian decomposition method (solving nonlinear non-homogenous initial value problem)

Journal article

Peer reviewed

Improved Adomian decomposition method (solving nonlinear non-homogenous initial value problem)

Tamer A. Abassy

Journal of the Franklin Institute, Vol.348(6), pp.1035-1051

01/08/2011

DOI: https://doi.org/10.1016/j.jfranklin.2011.04.004

Abstract

Automation & Control Systems

Engineering

Engineering, Electrical & Electronic

Engineering, Multidisciplinary

Mathematics

Mathematics, Interdisciplinary Applications

Physical Sciences

Science & Technology

Technology

The Adomian decomposition method (ADM) cannot deal generally with the non-homogenous differential equations. The method still needs improvements. This paper introduces a qualitative improvement in the method. The improved method is called the improved Adomian decomposition method (IADM). A comparison between ADM and IADM shows that the ADM gives results that is not accepted in some examples and cannot solve the other examples while IADM solves the problems effectively and efficiently. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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Details

Title: Improved Adomian decomposition method (solving nonlinear non-homogenous initial value problem)
Creators - without role: Tamer A. Abassy - Benha University
Publication Details: Journal of the Franklin Institute, Vol.348(6), pp.1035-1051
Publisher: Elsevier
Number of pages: 17
Identifiers: 9925783008331
Academic Unit: Prince Sattam Bin Abdulaziz University
Language: English
Resource Type: Journal article