Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method
In this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort-Frankel method is applied with the initial and boundary conditions. The numerical results that are obtained by the Adomian decomposition method...
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| Format: | Article |
| Language: | English |
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Mosul University
2014-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_163732_01587bb37834eef7b0abd843da37720d.pdf |
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| author | Abdulghafor Al-Rozbayani |
| author_facet | Abdulghafor Al-Rozbayani |
| author_sort | Abdulghafor Al-Rozbayani |
| collection | DOAJ |
| description | In this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort-Frankel method is applied with the initial and boundary conditions. The numerical results that are obtained by the Adomian decomposition method have been compared with the exact solution of the equation shown that it is more efficient than the DuFort-Frankel method, that is illustrated through the tables and Figures. |
| format | Article |
| id | doaj-art-a52c23efb2f24601b104c34853757c2a |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-a52c23efb2f24601b104c34853757c2a2025-08-20T03:49:07ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902014-07-01111697910.33899/csmj.2014.163732163732Numerical Solution of Allen – Cahn Equation by Adomian Decomposition MethodAbdulghafor Al-Rozbayani0Faculty of Science, University of Zakho, IraqIn this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort-Frankel method is applied with the initial and boundary conditions. The numerical results that are obtained by the Adomian decomposition method have been compared with the exact solution of the equation shown that it is more efficient than the DuFort-Frankel method, that is illustrated through the tables and Figures.https://csmj.mosuljournals.com/article_163732_01587bb37834eef7b0abd843da37720d.pdfallen – cahn (ac) equationadomian decomposition method (adm)dufort-frankel method (dfm) |
| spellingShingle | Abdulghafor Al-Rozbayani Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method Al-Rafidain Journal of Computer Sciences and Mathematics allen – cahn (ac) equation adomian decomposition method (adm) dufort-frankel method (dfm) |
| title | Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method |
| title_full | Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method |
| title_fullStr | Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method |
| title_full_unstemmed | Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method |
| title_short | Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method |
| title_sort | numerical solution of allen cahn equation by adomian decomposition method |
| topic | allen – cahn (ac) equation adomian decomposition method (adm) dufort-frankel method (dfm) |
| url | https://csmj.mosuljournals.com/article_163732_01587bb37834eef7b0abd843da37720d.pdf |
| work_keys_str_mv | AT abdulghaforalrozbayani numericalsolutionofallencahnequationbyadomiandecompositionmethod |