A. Sabawi, Younis and B. Ahmed, Supa and Q. Hamad, Hoshman (2022) Numerical Treatment of Allen’s Equation Using Semi Implicit Finite Difference Methods. Eurasian Journal of Science and Engineering, 8 (1).
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Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Allen Equation, Semi Implicit Finite Difference, Stability of Allen Equation |
| Subjects: | L Education > L Education (General) Q Science > QA Mathematics |
| Divisions: | Eurasian Journal of Science and Engineering > VOL 8, NO 1 (2022) |
| Depositing User: | TIU ePrints Admin |
| Date Deposited: | 24 Oct 2022 13:08 |
| Last Modified: | 24 Oct 2022 13:08 |
| URI: | http://eprints.tiu.edu.iq/id/eprint/1077 |
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