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WorldCIST'19 - 7th World Conference on Information Systems and Technologies

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A computational modeling based on trigonometric cubic B-spline functions for the approximate solution of a second order partial integro-differential A computational modeling based on trigonometric cubic B-spline functions for the approximate solution of a

In this paper, the trigonometric cubic B-spline collocation method is extended for the solution of a second order partial integro-differential equations with a weakly singular kernel. The method is obtained by discretization of time derivative using backward finite difference formula while trigonometric cubic B-spline functions are used to approximate the spatial derivative. The scheme is validated through two benchmark test problems. Accuracy of the present approach is assessed in terms of L_∞, L_2 error norms and pointwise error. Better accuracy is obtained and the results are compared with quasi wavelet method (QWM), quintic B-spline collocation method (QBCM) and sinc-collocation method using Linsolve Package (SMLP).

Arshed Ali
Islamia College University Peshawar
Pakistan

Kamil Khan
Islamia College University Peshawar
Pakistan

Fazal Haq
The University of Agriculture Peshawar
Pakistan

Syed Inayat Ali Shah
Islamia College University Peshawar
Pakistan

 


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