التفاصيل البيبلوغرافية
| العنوان: |
A-stable spectral deferred correction method for nonlinear Allen-Cahn model |
| المؤلفون: |
Lin Yao, Xindong Zhang |
| المصدر: |
Alexandria Engineering Journal, Vol 95, Iss , Pp 197-203 (2024) |
| بيانات النشر: |
Elsevier, 2024. |
| سنة النشر: |
2024 |
| المجموعة: |
LCC:Engineering (General). Civil engineering (General) |
| مصطلحات موضوعية: |
Spectral deferred correction method, Backward Euler method, Allen-Cahn model, Fourier spectral method, A-stability, Engineering (General). Civil engineering (General), TA1-2040 |
| الوصف: |
This paper presents a type of A-stable spectral deferred correction (SDC) method. The scheme is initiated by the first-order backward Euler method. We adopt the linear stabilization approach for the Allen-Cahn model to get the linear semi-implicit SDC scheme. This is done by the addition and subtraction of the linear stabilization operators that have been provided for the Allen-Cahn problem. The ranges of the stabilization factors are then given. The aim is to achieve A-stability and error estimates for the implicit part of the scheme. Finally, the semi-implicit SDC scheme coupled with the Fourier spectral method is used to simulate the Allen-Cahn problem, which is also suitable for the highly nonlinear problem. Numerical experiments are given to numerically demonstrate the high-order accuracy and the energy decay property of the scheme with A-stability parameters. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1110-0168 |
| Relation: |
http://www.sciencedirect.com/science/article/pii/S1110016824003478; https://doaj.org/toc/1110-0168 |
| DOI: |
10.1016/j.aej.2024.03.091 |
| URL الوصول: |
https://doaj.org/article/ffbd3b49726040eeabdafcbe488ed64e |
| رقم الانضمام: |
edsdoj.ffbd3b49726040eeabdafcbe488ed64e |
| قاعدة البيانات: |
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