Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 34, Issue 5, Pages 1459-1471Publisher
WILEY
DOI: 10.1002/num.22243
Keywords
finite volume element method; advection-diffusion equation; Caputo derivative; von-Neumann stability analysis
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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.
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