ИСТИНА

The work is based on the theory of the asymptotic-numerical investigation of generation and motion of fronts in phase transition models. On the example of numerical solution of the Burger’s equation with a small parameter with the higher derivative we discuss a method of dynamic adaptive meshes construction. For corresponding construction we use a priori information that is based on asymptotic analysis of the problem. In particular, we take into account some information about the speed of the transition layer, its width and structure. Our algorithms are able to significantly reduce the complexity of the numerical calculations in comparison with classical approaches for solving of this class problems.