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Finite Volume Element Approximation For Time-dependent Convection-Diffusion-ReactionEquations With Memory | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 دی 1399 اصل مقاله (307.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.30193.1447 | ||
| نویسندگان | ||
Anas Rachid  1؛ Mohamed Bahaj2؛ Rachid Fakhar3
| ||
| 1mechanical engineering department, ENSAM Casablanca, Hassan Ii university at Casablanca, Casablanca, Morocco. | ||
| 2Department of mathematics and informatics, Faculty of Sciences and Technology, University Hassan 1st,Settat, Morocco | ||
| 3Laboratoire LS3M, Université Hassan $1^{st}$, 25000 Khouribga, Morocco | ||
| چکیده | ||
| Error estimates for element schemes for time-dependent for convection-diffusion-reaction equations with memory are derived and stated.\ For the spatially discrete scheme, optimal order error estimates in $L^{2},$ $H^{1},\ $ and \ $W^{1,p\ }$ norms for $2\leq p <\infty ,$ are obtained. Inthis paper, we also study the lumped mass modification. Based on the Crank-Nicolson method, a time discretization scheme is discussed and related error estimates are derived. | ||
| کلیدواژه‌ها | ||
| Finite volume method؛ Crank-Nicolson method؛ parabolic integrodifferential equation؛ Full discrete scheme؛ error estimates | ||
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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 33 |
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