The Comparative Analysis of Neumann and Dirichlet Methods in Parallel Computing with MPI

Abstract

This scientific article represents a comparative analysis of the Neumann and Dirichlet methods using MPI (Message Passing Interface) in numerical computations. MPI is a powerful tool for parallel computing that enables efficient data exchange and coordination of computations in distributed computing systems. In our research, we investigate how MPI impacts the performance and accuracy of the Neumann and Dirichlet methods when solving complex boundary value problems. We also provide a comparison of the efficiency of parallel computations using both methods and draw conclusions about which method is more suitable for parallel processing of large datasets.