Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems

DOI10.1016/0307-904X(94)90224-0zbMath0805.65098OpenAlexW2083717676MaRDI QIDQ1334879

Han-Taw Chen, Jae-Yuh Lin

Publication date: 2 February 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(94)90224-0

zbMATH Keywords

stabilityjump discontinuityhyperbolic heat conductionLaplace transform techniquenumerical oscillationscontrol volume formulationhyperbolic shape function

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (8)

Numerical solution of hyperbolic heat conduction problems in the cylindrical coordinate system by the hybrid Green's function method ⋮ Combined mode conduction and radiation heat transfer in a spherical geometry with non-Fourier effect ⋮ Numerical analysis for the hyperbolic heat conduction problem under a pulsed surface disturbance ⋮ Numerical solutions for the hyperbolic heat conduction problems in a layered solid cylinder with radiation surface ⋮ Numerical simulation for nonlinear thermal wave ⋮ Analysis of non-Fickian diffusion problems in a composite medium ⋮ Simulation of thermal disturbances with finite wave speeds using a high order method ⋮ An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue

Cites Work

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• Axisymmetric non-Fourier temperatures in cylindrically bounded domains
• Numerical analysis for hyperbolic heat conduction
• Finite Element Analysis of Dynamic Coupled Thermoelasticity Problems With Relaxation Times
• CHARACTERISTICS-BASED, HIGH-ORDER ACCURATE AND NONOSCILLATORY NUMERICAL METHOD FOR HYPERBOLIC HEAT CONDUCTION

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