On some finite difference schemes for solution of hyperbolic heat conduction problems

DOI10.2478/S11533-011-0056-5zbMath1236.65109OpenAlexW2029791160MaRDI QIDQ657409

Aleksas Mirinavičius, Raimondas Čiegis

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0056-5

zbMATH Keywords

stability analysisfinite difference methodhyperbolic heat equation

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions ⋮ Stability of numerical methods for solving second-order hyperbolic equations with a small parameter ⋮ Numerical simulation on hyperbolic diffusion equations using modified cubic B-spline differential quadrature methods ⋮ ON CONSTRUCTION AND ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR PSEUDOPARABOLIC PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

Cites Work

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• Numerical analysis of the hyperbolic two-temperature model
• A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique
• METHOD OF LINES AND FINITE DIFFERENCE SCHEMES WITH THE EXACT SPECTRUM FOR SOLUTION THE HYPERBOLIC HEAT CONDUCTION EQUATION
• NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION
• A positivity‐preserving nonstandard finite difference scheme for the damped wave equation

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