Choice of iterative method for solving nonlinear nonstationary heat conduction problem for a half-space under radiative cooling (Q2808486)

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.