Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel

Document Type : Research Paper


Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran


In this paper, we apply a numerical scheme for the solution of a second order partial integro-differential equation with a weakly singular kernel. In the time direction, the backward Euler method time-stepping is used to approximate the differential term and the cubic B-splines is applied to the space discretization. Detailed discrete schemes, the convergence and the stability of the method is demonstrated. Next, the computational efficiency and accuracy of the method are examined by the numerical results.


Volume 7, Issue 3
July 2019
Pages 497-510
  • Receive Date: 18 September 2017
  • Revise Date: 26 June 2018
  • Accept Date: 26 August 2018
  • First Publish Date: 01 July 2019