The possibility investigation of block-algorithm construction using the BPM method

This paper focuses on the application of the technique of constructing difference schemes-based on a combination of explicit and implicit differential patterns in the development of a block-algorithm BPM method. Special attention is paid to experimentation on the efficiency of the constructed block algorithm and the convergence of the difference solution. A three-fold increase in calculation speed is confirmed, in comparison to the classical explicit-difference scheme; further, the behavior of the difference solution in the thickening of the grid region is revealed.