A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique

DOI10.1016/j.apnum.2008.09.001zbMath1162.65398OpenAlexW1973190356MaRDI QIDQ1015928

Suman Roy, A. S. Vasudeva Murthy, Ramesh B. Kudenatti

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.09.001

zbMATH Keywords

comparison of methodsstability analysisnumerical examplesFourier seriesheat conduction equationmultiscale techniquesweakly hyperbolic equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 (4)

On some finite difference schemes for solution of hyperbolic heat conduction problems ⋮ Numerical simulation on hyperbolic diffusion equations using modified cubic B-spline differential quadrature methods ⋮ Self-organizing maps by difference of convex functions optimization ⋮ Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain

Cites Work

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• Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation
• The hyperbolic singular perturbation problem: An operator theoretic approach
• Partial differential equations. 4th ed
• Some extensions of the Clarke and Wright method
• Solution structure of hyperbolic heat-conduction equation
• The mixed problem for hyperbolic equations with a small parameter
• The effects of weak hyperbolicity on the diffusion of heat
• A positivity‐preserving nonstandard finite difference scheme for the damped wave equation

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