Abstract
Calculation of thermal radiation transport frequently requires calculating the integral of the Planck distribution density with respect to a finite interval of spectrum. An analytical approximation of this integral and its related integrals in elementary functions is constructed.
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References
H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 1 (McGraw-Hill, New York, 1953).
I. L. Tsvetkova and A. V. Shilkov, Implementation of the Method of Lebesgue Averaging of the Radiation Transport Equation, Preprint (Keldysh Institute of Applied Mathematics, Moscow, 1989).
B. N. Chetverushkin, Mathematical Simulation of Radiating Gas Dynamic Problems (Nauka, Moscow, 1985) [in Russian].
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Original Russian Text © A.V. Shilkov, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 9, pp. 63–69.
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Shilkov, A.V. Approximation of Planck distribution. Math Models Comput Simul 5, 175–179 (2013). https://doi.org/10.1134/S2070048213020075
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DOI: https://doi.org/10.1134/S2070048213020075