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Exponentially fitted IMEX peer methods for an advection-diffusion problem | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مرداد 1402 اصل مقاله (3.48 MB) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.53247.2248 | ||
| نویسندگان | ||
Dajana Conte ؛ Leila Moradi  ؛ Beatrice Paternoster
| ||
| University of Salerno, Fisciano, 84084, Salerno, Italy. | ||
| چکیده | ||
| In this paper implicit-explicit (IMEX) exponential fitted (EF) peer methods are proposed for the numerical solution of an advection-diffusion problem exhibiting oscillatory solution. Adapted numerical methods both in space and in time are constructed. The spatial semidiscretization of the problem is based on finite differences, adapted to both to the diffusion and advection terms while the time discretization employs EF IMEX peer methods. The accuracy and stability features of the proposed methods are analytically and numerically analyzed. | ||
| کلیدواژه‌ها | ||
| Advection-diffusion problems؛ EF IMEX peer methods؛ Boussinesq equation؛ Finite differences | ||
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آمار تعداد مشاهده مقاله: 51 تعداد دریافت فایل اصل مقاله: 30 |
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