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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/2493/1/16_Moaddy_K.pdf
http://journalarticle.ukm.my/2493/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.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/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/2493/1/16_Moaddy_K.pdf
http://journalarticle.ukm.my/2493/
http://www.ukm.my/jsm/
_version_ 1643735397605310464
score 13.18916

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