A computational algorithm for the solution of second order partial integro-differential equations with a weakly singular kernel using quintic b-spline collocation method. | [Sindh University Research Journal • 2015]

Author(s):

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

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

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

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

Abstract:

A quintic B-spline collocation method is considered for numerical solution of partial integro-differential equations with a weakly singular kernel. To discretize the time derivative a backward difference formula is employed while the spatial derivatives are approximated via quintic B-spline functions. Approximate solution of a test problem is provided to validate the scheme. Accuracy of the method is assessed in terms of ????∞ and ????2 error norms. Better accuracy is obtained and the results are compared with Quasi-wavelet method.

Page(s): 709-712

DOI: DOI not available

Published: Journal: Sindh University Research Journal, Volume: 47, Issue: 4, Year: 2015

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