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**Choice of iterative method for solving nonlinear nonstationary heat conduction problem for a half-space under radiative cooling.**
*(Ukrainian, English)*
Zbl 1349.74102

Mat. Metody Fiz.-Mekh. Polya 57, No. 4, 179-185 (2014); translation in J. Math. Sci., New York 220, No. 2, 226-234 (2017).

The authors apply the method of reduction to a nonlinear integral Volterra-type equation, the simple iteration method, and the methods of successive approximations and quasilinearization to solve the problem of nonlinear nonstationary radiative interaction of a half-space with a medium. For this class of problems a comparative analysis of efficiency of the approaches is performed. In terms of this analysis, a better convergence of the approach based on the quasilinearization method is found.

Reviewer: R. K. Azimov (Andizhan)

### MSC:

74F05 | Thermal effects in solid mechanics |

74S20 | Finite difference methods applied to problems in solid mechanics |

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\textit{V. A. Shevchuk} and \textit{O. P. Havrys'}, Mat. Metody Fiz.-Mekh. Polya 57, No. 4, 179--185 (2014; Zbl 1349.74102); translation in J. Math. Sci., New York 220, No. 2, 226--234 (2017)

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### References:

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