An optimal mesh choice in the numerical solution of the heat equation

DOI10.1016/S0898-1221(99)00263-1zbMath0945.65098OpenAlexW2085163886MaRDI QIDQ1972465

István Faragó, Robert Horváth

Publication date: 11 April 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00263-1

zbMATH Keywords

convergencenumerical examplefinite difference methodmesh generationtheta-methodstepsize control\(\theta\)-methodheat conduction equationoptimal parameter choice

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• Some computational aspects in the numerical solution of parabolic equations
• Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions
• Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution
• Optimal Parameter Choice in the θ-Method for Parabolic Equations
• Stability theory of difference schemes and iterative methods

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