Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions

DOI10.1016/0898-1221(95)00226-XzbMath0874.65068MaRDI QIDQ1361286

István Faragó

Publication date: 2 November 1997

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

zbMATH Keywords

monotonicityconcavityheat equationconvexitymethod of linesnonhomogeneous boundary conditionsqualitative propertiesnonnegativity

Mathematics Subject Classification ID

Heat equation (35K05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Regular and exponential convergence of difference schemes for the heat-conduction equation ⋮ An optimal mesh choice in the numerical solution of the heat equation ⋮ Some integral properties of the heat equation ⋮ Global and local refinement techniques yielding nonobtuse tetrahedral partitions

Cites Work

• Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution
• On a Maximum Principle for Matrices, and on Conservation of Monotonicity. With Applications to Discretization Methods
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