To solve the nonlinear nonstationary problem of radiative interaction of a half space with an ambient medium, we use the methods of reduction to nonlinear integral equations of the Volterra type, simple iteration, successive approximations, and quasilinearization. We perform the comparative analysis of the efficiency of application of these approaches to the solution of the analyzed class of problems and show that the approach based on the method of quasilinearization guarantees the best possible convergence.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 4, pp. 179–185, October–December, 2014.
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Shevchuk, V.A., Havrys’, O.P. Choice of the Iterative Method for the Solution of Nonlinear Nonstationary Problem of Heat Conduction for a Half Space in the Course of Radiative Cooling. J Math Sci 220, 226–234 (2017). https://doi.org/10.1007/s10958-016-3179-1
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DOI: https://doi.org/10.1007/s10958-016-3179-1