Parallel laplace method with assured accuracy for solutions of differential equations by symbolic computations

  • Authors:
  • Natasha Malaschonok

  • Affiliations:
  • Tambov State University, Tambov, Russia

  • Venue:
  • CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
  • Year:
  • 2006

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Abstract

We produce a parallel algorithm realizing the Laplace transform method for symbolic solution of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions, and the right-hand sides reduced to the sums of exponents with the polynomial coefficients.