Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 4, No 4 (2010)

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A parallel algorithm for analytical solving of partial differential equations systems

Natalia Aleksandrovna Malashonok

Abstract


There is produced a parallel algorithm for symbolic  solvingsystems of partial differential equations by means of multivariateLaplace-Carson transform. There is considered a system of nequations with m as the greatest order of partial derivatives andright hand parts of a special type. Initial and conditions areinput. As a result of Laplace-Carson transform of the systemaccording to initial condition we obtain an algebraic system ofequations. A method to obtain compatibility conditions isdiscussed.

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