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Stability of a finite volume element method for the time‐fractional advection‐diffusion equation
Author(s) -
Badr M.,
Yazdani A.,
Jafari H.
Publication year - 2018
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22243
Subject(s) - mathematics , finite element method , finite volume method , mathematical analysis , advection , stability (learning theory) , fractional calculus , convection–diffusion equation , time derivative , mechanics , computer science , physics , machine learning , thermodynamics
The numerical solution for the time fractional advection‐diffusion problem in one‐dimension with the initial‐boundary condition is proposed in this paper by B‐spline finite volume element method. The fractional derivative is Caputo in the proposed scheme. The stability of the proposed numerical method is studied, and the numerical results presented support the theoretical results.