Angled derivative approximation of the hyperbolic heat conduction equations

DOI10.1016/j.amc.2006.05.045zbMath1107.65083OpenAlexW2168036154MaRDI QIDQ858828

Matthew F. Causley, Brian J. McCartin

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.045

zbMATH Keywords

stabilitynumerical examplesmethod of characteristics

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Two exact solutions of the DPL non-Fourier heat conduction equation with special conditions

Cites Work

• The stability of boundary conditions for an angled-derivative difference scheme
• Wave concepts in the theory of heat
• Transient heat transfer in simultaneously developing channel flow with step change in inlet temperature
• The exponential method of angled derivatives
• The method of angled derivatives
• CHARACTERISTICS-BASED, HIGH-ORDER ACCURATE AND NONOSCILLATORY NUMERICAL METHOD FOR HYPERBOLIC HEAT CONDUCTION
• Characteristic‐based schemes for dispersive waves I. The method of characteristics for smooth solutions
• Partial Differential Equations
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