Asymptotically compatible schemes for space-time nonlocal diffusion equations

DOI10.1016/j.chaos.2017.03.061zbMath1422.65279OpenAlexW2605580434MaRDI QIDQ1677790

An Chen, Zhi Zhou, Qiang Du, Changpin Li

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.03.061

zbMATH Keywords

well-posednesslocal limitFourier spectral methodasymptotically compatibilityquadrature-based finite differencespace-time nonlocal equation

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Two efficient Galerkin finite element methods for the modified anomalous subdiffusion equation ⋮ Numerical methods for nonlocal and fractional models ⋮ Meshless numerical solution for nonlocal integral differentiation equation with application in peridynamics ⋮ Nonlocal-In-Time Dynamics and Crossover of Diffusive Regimes ⋮ Analysis of a numerical method for the solution of time fractional Burgers equation ⋮ Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion ⋮ Stochastic classical solutions for space-time fractional evolution equations on a bounded domain ⋮ Numerical methods for fractional partial differential equations

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