Estimates of the hyperbolization effect on the heat equation

DOI10.1134/S0965542515080138zbMath1328.35068MaRDI QIDQ889226

E. E. Myshetskaya, V. F. Tishkin

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

heat equationdifference schemeshyperbolization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

Явная схема для решения нелинейного уравнения теплопроводности ⋮ On a hyperbolic perturbation of a parabolic initial-boundary value problem ⋮ On conservation laws for hyperbolized equations ⋮ On stabilization of an explicit difference scheme for a nonlinear parabolic equation ⋮ Three-level scheme for solving the radiation diffusion equation ⋮ Modeling of radiative heat conduction on high-performance computing systems ⋮ On the closeness of trajectories for model quasi-gasdynamic equations ⋮ Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain ⋮ On the closeness of solutions of unperturbed and hyperbolized heat equations with discontinuous initial data ⋮ Prediction of temperature-dependent processes in multicomponent fluid flow through porous media

Cites Work

• Estimates of the difference between approximate solutions of the Cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter
• Explicit schemes and numerical simulation using ultrahigh-performance computer systems
• Application of explicit schemes for the simulation of the two-phase filtration process
• Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
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