Numerical convergence of a one step approximation of an integro-differential equation

  • Authors:

  • Samir Kumar Bhowmik

  • Affiliations:

  • Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

  • Venue:
  • Applied Numerical Mathematics
  • Year:
  • 2012

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Abstract

We consider a linear partial integro-differential equation that arises in modeling various physical and biological processes. We study the problem in a spatial periodic domain. We analyze numerical stability and numerical convergence of a one step approximation of the problem with smooth and non-smooth initial functions.