Heat waves simulation

DOI10.1016/S0898-1221(99)00278-3zbMath0945.65114OpenAlexW1965539687MaRDI QIDQ1972486

M. Honner

Publication date: 5 October 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00278-3

zbMATH Keywords

stabilitycomputer simulationLaplace transform methodnon-Fourier heat conductionFourier series expansionheat wavescontrol volume methodextended hyperbolic heat conduction theoryLaplace inversion algorithmsurface heat convection transfer

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) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (6)

Numerical methods for nonlinear second-order hyperbolic partial differential equations. I: Time-linearized finite difference methods for 1-D problems ⋮ Evolution of the interface for an extended melting model ⋮ Thermal solitons in nanotubes ⋮ Realization of non-Fourier phenomena in heat transfer with 2D transfer function ⋮ Numerical analysis for the hyperbolic heat conduction problem under a pulsed surface disturbance ⋮ Simulation of thermal disturbances with finite wave speeds using a high order method

Cites Work

• A method for the numerical inversion of Laplace transforms
• Numerical analysis for hyperbolic heat conduction
• Heat waves

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