Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems

DOI10.4310/CMS.2022.V20.N7.A2zbMath1499.34142arXiv2108.11817MaRDI QIDQ2103065

Qiang Du, Hwi Lee

Publication date: 13 December 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11817

zbMATH Keywords

extrapolationnonlocal boundary conditionsmoothed particle hydrodynamicsnonlocal diffusionperidynamicsnonlocal gradientnonlocal modelsnonlocal interaction kernels

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Linear integral equations (45A05) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50) Peridynamics (74A70)

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