A computational technique for the solution of parabolic type integro-differential equation with a weakly singular kernel. | [Sindh University Research Journal • 2016]

Author(s):

1. A. Ali: Department of Mathematics, Islamia College, Peshawar, Pakistan

2. S. Ahmad: Department of Mathematics, Islamia College, Peshawar, Pakistan

3. S. I. A. Shah: Department of Mathematics, Islamia College, Peshawar, Pakistan

4. F. I. Haq: Department of Mathematics, Statistics and Computer Science, University of Agriculture, Peshawar, Pakistan

Abstract:

A quartic B-spline collocation method is proposed for numerical solution of partial integro-differential equations with a weakly singular kernel. The scheme is developed by discretization of the time derivative using forward difference formula while the spatial derivative is approximated using quartic B-spline functions. Numerical solution of two test problems are provided to validate the scheme. Accuracy of the method is assessed in terms of ??∞ and ???? error norms. Better accuracy is obtained and the results are also compared with cubic B-spline collocation method.

Page(s): 71-74

DOI: DOI not available

Published: Journal: Sindh University Research Journal, Volume: 48, Issue: 1, Year: 2016

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