ДОСЛІДЖЕННЯ ПРОЦЕСІВ САМОЗАЙМАННЯ У ПІВКРУЗІ МЕТОДАМИ РОТЕ ТА ДВОБІЧНИХ НАБЛИЖЕНЬ

This work is devoted to the use of the Rothe’s method in combination with the method of two-sided approximations based on the use of the Green’s function to solve the 2D initial-boundary value problem for the semilinear equation of thermal conductivity in half-circular domain. The power of the internal heat source is approximated by exponential dependence.