Random variable transformation for generalized stochastic radiative transfer in finite participating slab media

DOI10.1016/j.physa.2015.04.033zbMath1459.78009OpenAlexW254069857MaRDI QIDQ1618601

M. Sallah, Atalla M. Elhanbaly, S. A. El-Wakil

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.04.033

zbMATH Keywords

integral transformationaverage partial heat fluxescontinuously stochastic radiative transferfinite participating planar mediumrandom variable transformation (RVT) techniquespecular- and diffusly-reflecting boundaries

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Composite media; random media in optics and electromagnetic theory (78A48) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

Solving random homogeneous linear second-order differential equations: a full probabilistic description ⋮ A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications ⋮ Extending the study on the linear advection equation subject to stochastic velocity field and initial condition ⋮ An approximate probabilistic solution of a random SIR-type epidemiological model using RVT technique

Cites Work

• On the existence and uniqueness of solutions generated by equivalent linearization
• The approximate solutions of some stochastic differential equations using transformations
• Pure-triplet scattering for radiative transfer in binary discrete random finite media with reflective boundaries and internal source of radiation
• Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator
• Transport Of Neutral Particles In A Finite Continuous Stochastic Medium With Gaussian Statistics
• Radiative transfer in finite participating atmospheric aerosol media
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