The Numerical Solution of lntegro-partial differential equations with sixth- Degree B-Spline Functions

Abstract

In this paper, we consider the approximate solution of the following problem.(see full paper) To solve this problem, we introduce a new nonstandard time discretization scheme. A proof of
convergence of the approximate solution is given and error estimates are derived. The numerical
results obtained by the suggested technique are compared with the exact solution of the problem.
The numerical solution displays the expected convergence to the exact one as the mesh size is
refined, the numerical solution displays the expected convergence to the exact one as the mesh
size is refined.the numerical solution displays the expected convergence to the exact one as the
mesh size is refined.