Numerical analysis for the hyperbolic heat conduction problem under a pulsed surface disturbance

DOI10.1016/j.amc.2003.08.109zbMath1063.65109OpenAlexW2034401198MaRDI QIDQ706753

Kuo-Chi Liu, Han-Taw Chen

Publication date: 9 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.109

zbMATH Keywords

Laplace transform methodNumerical resultsNumerical oscillationsControl volume schemeHyperbolic diffusion problemsHyperbolic shape functionsNon-Fourier heat conductionPulsed disturbance

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (9)

An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection ⋮ Numerical methods for nonlinear second-order hyperbolic partial differential equations. I: Time-linearized finite difference methods for 1-D problems ⋮ Transient hyperbolic heat conduction in thick-walled FGM cylinders and spheres with exponentially-varying properties ⋮ Notable physical anomalies manifested in non-Fourier heat conduction under the dual-phase-lag model ⋮ Analysis of dual-phase-lag heat conduction in cylindrical system with a hybrid method ⋮ Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation ⋮ Tracking a sharp crested wave front in hyperbolic heat transfer ⋮ Numerical simulation for nonlinear thermal wave ⋮ Analysis of non-Fourier heat conduction in a solid sphere under arbitrary surface temperature change

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of non-Fickian diffusion problems in a composite medium
• A method for the numerical inversion of Laplace transforms
• Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems
• Heat waves simulation
• Three-dimensional propagation of hyperbolic thermal waves in a solid bar with rectangular cross-section

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