Convergence of product integration method applied for numerical solution of linear weakly singular Volterra systems

Authors

  • K. Ivaz
  • M. Mokhtarzadeh
Abstract:

We develop and apply the product integration method to a large class of linear weakly singular Volterra systems. We show that under certain sufficient conditions this method converges. Numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

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Journal title

volume 37  issue No. 3

pages  135- 148

publication date 2011-09-15

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