A computational algorithm for the solution of second order partial integro-differential equations with a weakly singular kernel using quintic b-spline collocation method.

S. Ahmad; A. Ali; S. I. A. Shah; Fazal-I-Haq

No Detail Found!

A computational algorithm for the solution of second order partial integro-differential equations with a weakly singular kernel using quintic b-spline collocation method.

Author(s)

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

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

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

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.

Publication Details

Page(s) 709-712

DOI DOI not available

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

Request the full text from PASTIC

Citations

Downloads

Views