A PARALLEL ALGORITHM FOR ANALYTICAL SOLVING OF PARTIAL DIFFERENTIAL EQUATIONS SYSTEMS.

Abstract

There is produced a parallel algorithm for symbolic solving systems of partial differential equations by means of multivariate Laplace-Carson transform. There is considered a system of n equations with m as the greatest order of partial derivatives and right hand parts of a special type. Initial and conditions are input. As a result of Laplace-Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed.