Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 6, Volume 11, Issue 1, June 2014, Pages 69-79 PDF (443.8 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2014.163732 | ||
| Author | ||
| Abdulghafor M. Al-Rozbayani | ||
| Faculty of Science, University of Zakho, Iraq | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Allen – Cahn (AC) equation; Adomian decomposition method (ADM); DuFort-Frankel method (DFM) | ||
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