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

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...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.63-75-1206
Main Authors: Mustafa, Ghulam, Ejaz, Syeda Tehmina
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Boundary value problems
Finite element analysis
Functions, Continuous
Interpolation
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/721314