Analytical solutions of model kinetic radiative transfer equations and energy equation

DOI10.1134/S0965542522050098zbMath1504.35560OpenAlexW4283119900MaRDI QIDQ2149042

V. M. Shmakov, N. Ya. Moiseev

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522050098

zbMATH Keywords

analytical solutionskinetic equation of thermal radiative transfer and energy equation

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Numerical quadrature and cubature formulas (65D32) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82) Radiative heat transfer (80A21)

Uses Software

• UNCMND
• pchip

Cites Work

• Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations
• A quasi-diffusion method of solving the kinetic equation
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