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

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 problem...

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Main Authors: Ghulam Mustafa, Syeda Tehmina Ejaz
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/721314
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spelling doaj-d9cc752a04aa42f4818915d857892ad72020-11-24T22:55:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/721314721314Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision SchemesGhulam Mustafa0Syeda Tehmina Ejaz1Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanA 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.http://dx.doi.org/10.1155/2014/721314
collection DOAJ
language English
format Article
sources DOAJ
author Ghulam Mustafa
Syeda Tehmina Ejaz
spellingShingle Ghulam Mustafa
Syeda Tehmina Ejaz
Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
Abstract and Applied Analysis
author_facet Ghulam Mustafa
Syeda Tehmina Ejaz
author_sort Ghulam Mustafa
title Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
title_short Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
title_full Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
title_fullStr Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
title_full_unstemmed Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
title_sort numerical solution of two-point boundary value problems by interpolating subdivision schemes
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/721314
work_keys_str_mv AT ghulammustafa numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes
AT syedatehminaejaz numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes
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