One Parallel Method for Solving the Multidimensional Transfer Equation with Aftereffect

摘要

We describe a finite difference scheme for a multidimensional advection equation with time delay. The difference scheme has the second order in space and the first order in time and is unconditionally stable. The difference scheme lead to a big system of linear algebraic equations which could be solved in parallel. The performance of a sequential algorithm and several parallel implementations with the MPI technology in the C/C++ language has been studied in test examples, strong scalability is closed to ideal one.