Three-level scheme for solving the radiation diffusion equation

DOI10.1134/s1064562423700837MaRDI QIDQ6148178

B. N. Chetverushkin, V. A. Gasilov, O. G. Olkhovskaya

Publication date: 11 January 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear parabolic equationhigh-performance computingexplicit difference schemeradiative transfer of energyradiation diffusion model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Radiative transfer in astronomy and astrophysics (85A25) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Radiative heat transfer (80A21)

Cites Work

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• Estimates of the difference between approximate solutions of the Cauchy problems for the parabolic diffusion equation and a hyperbolic equation with a small parameter
• Estimates of the hyperbolization effect on the heat equation
• Explicit schemes and numerical simulation using ultrahigh-performance computer systems
• Numerical algorithms for systems with extramassive parallelism
• Exact solutions of sets of radiation transfer equations with a discontinuity at the boundary of two media

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