Mathematical and numerical analysis of initial boundary value problem for a linear nonlocal equation

Mateusz Wróbel

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 166, issue C, 113-125

Abstract: We propose and study a numerical scheme for bounded distributional solutions of the initial boundary value problem for the anomalous diffusion equation ∂tu+ℒμu=0 in a bounded domain supplemented with inhomogeneous boundary conditions. Here ℒμ is a class of nonlocal operators including fractional Laplacian.

Keywords: Fractional Laplacian; Numerical method; Anomalous diffusion equation; Boundary value problem (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:166:y:2019:i:c:p:113-125

DOI: 10.1016/j.matcom.2019.04.011

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