The analysis of initial-boundary-value problems using Hermite interpolation

DOI10.1016/S0377-0427(02)00811-7zbMath1018.65122MaRDI QIDQ1874192

R. E. Grundy

Publication date: 22 May 2003

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

zbMATH Keywords

stabilityheat equationnumerical examplesStefan problemsemi-analytic methodHermite interpolationinitial-boundary-value problemsdiffusion-convection-reaction modelsunknown moving boundaries

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35)

Related Items (3)

Hermite interpolation visits ordinary two-point boundary value problems ⋮ Uniformly valid polynomial representations for boundary-layer problems ⋮ An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems

Cites Work

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• Application of Hermite approximation to a boundary value problem
• An integral approach to lifting wing theory at Mach one
• Explicit forms for certain Hermite approximations
• The Burgers equation on the semi-infinite and finite intervals
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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