6533b85afe1ef96bd12b9636

RESEARCH PRODUCT

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

Mateusz Wróbel

subject

Numerical AnalysisGeneral Computer ScienceAnomalous diffusionApplied MathematicsNumerical analysisMathematical analysisDomain (mathematical analysis)Theoretical Computer ScienceModeling and SimulationScheme (mathematics)Bounded functionFractional Laplacian; Numerical method; Anomalous diffusion equation; Boundary value problemBoundary value problemFractional LaplacianMathematics

description

We propose and study a numerical scheme for bounded distributional solutions of the initial boundary value problem for the anomalous diffusion equation ∂t u +Lμu = 0 in a bounded domain supplemented with inhomogeneous boundary conditions. Here Lμ is a class of nonlocal operators including fractional Laplacian. ⃝c 2019 InternationalAssociation forMathematics andComputers in Simulation (IMACS). Published by ElsevierB.V.All rights reserved.

yearjournalcountryeditionlanguage
2019-12-01Mathematics and Computers in Simulation
10.1016/j.matcom.2019.04.011https://doi.org/10.1016/j.matcom.2019.04.011