An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh

DOI10.1093/imanum/drl034zbMath1120.65100OpenAlexW1995917537MaRDI QIDQ5294121

No author found.

Publication date: 23 July 2007

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drl034

zbMATH Keywords

stabilityconvergencenumerical resultsheat equationconvection-diffusion equationadaptivityfinite differencesbackward Euler methodmoving meshsemi-discretization

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) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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