Maximum principle preserving finite difference scheme for 1-D nonlocal-to-local diffusion problems

DOI10.1016/j.rinam.2021.100211OpenAlexW3214726841MaRDI QIDQ2063307

Xingjie Helen Li, Amanda Gute

Publication date: 11 January 2022

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00601

zbMATH Keywords

convergence analysisdiscrete maximum principlenonlocal diffusion problemquasi-nonlocal coupling

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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