Дослідження та реалізація паралельного алгоритму розв’язання системи нелінійних рівнянь методом Рунге-Кутта 4-го порядка точності

Abstract

The development of a parallel algorithm for solving a system of nonlinear differential equations using the RungeKutta 4th order method using multiprocessing technology is considered. The issue of analyzing numerical methods to achieve high accuracy is considered, the choice of the geometric parallelism model (SPMD) is justified, the software architecture and data decomposition scheme are developed. In the work, a software implementation of a parallel algorithm in Python using Shared Memory mechanisms is created and its performance is tested on a large-scale system.