Finite volume element approximation for time dependent convection diffusion reaction equations with memory

Rachid, Anas; Bahaj, Mohamed; Fakhar, Rachid

doi:10.22034/cmde.2020.30193.1447

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	Finite volume element approximation for time dependent convection diffusion reaction equations with memory
Computational Methods for Differential Equations
مقاله 4، دوره 9، شماره 4، دی 2021، صفحه 977-1000 اصل مقاله (238 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30193.1447
نویسندگان
Anas Rachid ¹^{، 2}؛ Mohamed Bahaj³؛ Rachid Fakhar⁴
¹Laboratoire LMA,ENS de Casablanca, Hassan II university of Casablanca, B.P 50069, Ghandi Casablanca, Morocco.
²ENSAM de Casablanca, Hassan II University of Casablanca, Casablanca, Morocco.
³Faculty of Sciences and Technology, University Hassan 1st, Settat, Morocco
⁴Laboratoire LS3M, Universit Hassan 1st, 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 L2 , H1 , and W1,p norms for 2 ≤ p < ∞, are obtained. In this 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

مراجع
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Finite volume element approximation for time dependent convection diffusion reaction equations with memory