A stable highly accurate ADI method for hyperbolic heat conduction equation

DOI10.1016/0021-9991(86)90094-XzbMath0629.65099OpenAlexW2011302530MaRDI QIDQ1094112

Jan W. Thullie, Andrzej B. Jarzebski

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90094-x

zbMATH Keywords

Taylor expansionalternating direction implicit methodtridiagonal systemsamplification matrixvon Neumann stability analysisaccurate ADI methodtwo-dimensional hyperbolic heat conduction equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

A norm estimate for the ADI method for nonsymmetric problems ⋮ An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows

Cites Work

• The thermodynamics of elastic materials with heat conduction and viscosity
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• On thermodynamics, strain impulses, and viscoelasticity
• Difference schemes for second order hyperbolic equations
• Unnamed Item

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