Numerical Treatment of Allen’s Equation Using Semi Implicit Finite Difference Methods
| Autor: | Younis A. Sabawi, Supa B. Ahmed, Hoshman Q. Hamad |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Eurasian Journal of Science and Engineering, Vol 8, Iss 1, Pp 90-100 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2414-5629 2414-5602 |
| DOI: | 10.23918/eajse.v8i1p90 |
| Popis: | This paper aims to propose the semi implicit finite difference method for discretizing Cahn-Allen equation. The stability and convergence analysis are proved. It is shown that the suggest scheme is stable for the usage of the Fourier-Von Neumann technique. The accuracy of the proposed method is first order in time and second order in space. A comparison between the numerical and the exact solutions is supported with two examples. Numerical results are shown that there is a good agreement between the approximate solution and exact solution. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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