Application of explicit iterative schemes for solution of kinetic problems

The paper studies a possibility of application of explicit iterative schemes for solution of multidimensional kinetic problems. Properties of modified local iterative scheme LI-M are analyzed. The results of calculations with the scheme are compared with the implicit splitting scheme. Parallel MPI algorithms for explicit iterative scheme and implicit scheme are proposed. The advantages and disadvantages of explicit iterative and implicit schemes are analyzed. Investigations showed that in some cases scheme LI-M has advantages in respect to implicit schemes. Use of scheme LI-M in combination with splitting scheme allows performing stable calculations with the second order of approximation over time.