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Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. (1400). Finite volume element approximation for time dependent convection diffusion reaction equations with memory. سامانه مدیریت نشریات علمی, 9(4), 977-1000. doi: 10.22034/cmde.2020.30193.1447
Anas Rachid; Mohamed Bahaj; Rachid Fakhar. "Finite volume element approximation for time dependent convection diffusion reaction equations with memory". سامانه مدیریت نشریات علمی, 9, 4, 1400, 977-1000. doi: 10.22034/cmde.2020.30193.1447
Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. (1400). 'Finite volume element approximation for time dependent convection diffusion reaction equations with memory', سامانه مدیریت نشریات علمی, 9(4), pp. 977-1000. doi: 10.22034/cmde.2020.30193.1447
Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. Finite volume element approximation for time dependent convection diffusion reaction equations with memory. سامانه مدیریت نشریات علمی, 1400; 9(4): 977-1000. doi: 10.22034/cmde.2020.30193.1447

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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