MPI-implementation of numerical solution of the system of equations describing the long Josephson junctions model

A current-voltage characteristic is one of important elements of a numerical investigation of the phase dynamics of long Josephson junctions (LJJ). The calculation is based on numerical solution of the system of nonlinear partial differential equation by means of the standard three-point finite-difference approximation in the spatial coordinate along the length of the LJJ and utilizing of the Runge-Kutta method for solution of the resulting Cauchy problem. A parallel algorithm is developed and implemented on a basis of the MPI technology. Methodical calculations have been carried out on the multiprocessor cluster CICC of Laboratory of Information Technologies The numerical results confirm that the parallel implementation provides acceleration up to 7 times in comparison to the single-processor mode.