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

Document Type : Research Paper



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


Volume 37, No. 3
September 2011
Pages 135-148
  • Receive Date: 28 June 2009
  • Revise Date: 15 March 2012
  • Accept Date: 02 February 2010
  • First Publish Date: 15 September 2011