Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem

DOI10.1016/J.CAM.2010.03.024zbMath1204.65112OpenAlexW2056520224MaRDI QIDQ977441

Wan-Rong Cao, Zhi-zhong Sun

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.024

zbMATH Keywords

stabilityconvergencenumerical experimentsCrank-Nicolson schememoving boundaries

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)

Related Items (6)

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary ⋮ High-order compact schemes for semilinear parabolic moving boundary problems ⋮ On the convergence of a high-accuracy conservative scheme for the Zakharov equations ⋮ Implicit compact difference schemes for the fractional cable equation ⋮ Fractional cable problem in the frame of meshless singular boundary method ⋮ Moving collocation method for a reaction-diffusion equation with a traveling heat source

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