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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2493/ http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf |
| _version_ | 1848809886128799744 |
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| author | Moaddy .K, Hashim .I, Alomari .A.K, Momani .S, |
| author_facet | Moaddy .K, Hashim .I, Alomari .A.K, Momani .S, |
| author_sort | Moaddy .K, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-14T23:21:44Z |
| format | Article |
| id | oai:generic.eprints.org:2493 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:21:44Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | Moaddy .K, Hashim .I, Alomari .A.K, Momani .S, A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/2493/ http://journalarticle.ukm.my/2493/ http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf |