Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem

DOI10.1515/CMAM-2017-0019zbMath1382.65275OpenAlexW2733082216MaRDI QIDQ1697107

Eugene O'Riordan, Martin Stynes, José Luis Gracia

Publication date: 15 February 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2017-0019

zbMATH Keywords

convergence finite difference method error bound numerical result Caputo fractional derivative weak singularity time-fractional convection-diffusion initial boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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Cites Work

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