METHOD OF LINES AND FINITE DIFFERENCE SCHEMES WITH THE EXACT SPECTRUM FOR SOLUTION THE HYPERBOLIC HEAT CONDUCTION EQUATION

DOI10.3846/13926292.2011.578677zbMath1220.65114OpenAlexW1969700878MaRDI QIDQ3015414

A. A. Bujkis, Harijs Kalis

Publication date: 13 July 2011

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2011.578677

zbMATH Keywords

numerical resultsfinite differencesmethod of linesspectral problemsspectral methodFourier methodhyperbolic heat conducting equationsteel quenching problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

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On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions ⋮ On some finite difference schemes for solution of hyperbolic heat conduction problems ⋮ ON CONSTRUCTION AND ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR PSEUDOPARABOLIC PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

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