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Abstract and Applied Analysis
Volume 2014, Article ID 721314, 13 pages
Research Article

Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes

Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan

Received 23 January 2014; Revised 9 June 2014; Accepted 22 June 2014; Published 17 July 2014

Academic Editor: Chun-Gang Zhu

Copyright © 2014 Ghulam Mustafa and Syeda Tehmina Ejaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed.