Stability and convergence of time-stepping methods for a nonlocal model for diffusion

DOI10.3934/dcdsb.2015.20.1315zbMath1334.65145OpenAlexW2525825098MaRDI QIDQ256817

Qingguang Guan, Max D. Gunzburger

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1315

zbMATH Keywords

stabilityconvergenceerror estimatesfinite element methodssemidiscretizationCrank-Nicolson schemenumerical experimentsuperdiffusionEuler schemenonlocal diffusion

Mathematics Subject Classification ID

Heat equation (35K05) 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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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