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

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...

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Main Authors: Moaddy .K, Hashim .I, Alomari .A.K, Momani .S
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2011
Online Access:http://journalarticle.ukm.my/2493/
http://journalarticle.ukm.my/2493/
http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf
id ukm-2493
recordtype eprints
spelling ukm-24932016-12-14T06:31:47Z http://journalarticle.ukm.my/2493/ A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations Moaddy .K, Hashim .I, Alomari .A.K, Momani .S, 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 Universiti Kebangsaan Malaysia 2011-05 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf 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 http://www.ukm.my/jsm/
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description 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
format Article
author Moaddy .K,
Hashim .I,
Alomari .A.K,
Momani .S,
spellingShingle Moaddy .K,
Hashim .I,
Alomari .A.K,
Momani .S,
A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
author_facet Moaddy .K,
Hashim .I,
Alomari .A.K,
Momani .S,
author_sort Moaddy .K,
title A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
title_short A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
title_full A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
title_fullStr A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
title_full_unstemmed A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
title_sort new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
publisher Universiti Kebangsaan Malaysia
publishDate 2011
url http://journalarticle.ukm.my/2493/
http://journalarticle.ukm.my/2493/
http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf
first_indexed 2023-09-18T19:36:14Z
last_indexed 2023-09-18T19:36:14Z
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