A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations

Moaddy .K, and Hashim .I, and Alomari .A.K, and Momani .S, (2011) A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations. Sains Malaysiana, 40 (5). pp. 515-519. ISSN 0126-6039

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Abstract

This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme

Item Type:Article
Keywords:Adomian decomposition method; Logistic equation; Lotka-Volterra system; non-standard schemes
Journal:Sains Malaysiana
ID Code:2493
Deposited By: Mr Azam
Deposited On:03 Aug 2011 03:04
Last Modified:14 Dec 2016 06:31

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