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• W3004624525 abstract "In this paper we investigate the numerical approximation of the fractional diffusion, advection, reaction equation on a bounded interval. Recently the explicit form of the solution to this equation was obtained. Using the explicit form of the boundary behavior of the solution and Jacobi polynomials, a Petrov-Galerkin approximation scheme is proposed and analyzed. Numerical experiments are presented which support the theoretical results, and demonstrate the accuracy and optimal convergence of the approximation method." @default.
• W3004624525 created "2020-02-14" @default.
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• W3004624525 date "2020-02-06" @default.
• W3004624525 modified "2023-09-27" @default.
• W3004624525 title "Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval" @default.
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• W3004624525 doi "https://doi.org/10.48550/arxiv.2002.02330" @default.
• W3004624525 hasPublicationYear "2020" @default.
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