The decomposition method for Cauchy advection-diffusion problems

  • Authors:
  • D. Lesnic

  • Affiliations:
  • -

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2005

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Abstract

In this paper, the solution of Cauchy problems for the advection-diffusion equation is obtained using the decomposition method. In the case when the flow velocity is constant, an analytical solution can be derived, whilst for variable flow velocity, symbolic numerical computations need to be performed.