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: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/721314
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author Ghulam Mustafa
Syeda Tehmina Ejaz
author_facet Ghulam Mustafa
Syeda Tehmina Ejaz
author_sort Ghulam Mustafa
collection DOAJ
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.
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institution Kabale University
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-d9cc752a04aa42f4818915d857892ad72025-02-03T05:57:58ZengWileyAbstract 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
spellingShingle Ghulam Mustafa
Syeda Tehmina Ejaz
Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
Abstract and Applied Analysis
title 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_short 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
url http://dx.doi.org/10.1155/2014/721314
work_keys_str_mv AT ghulammustafa numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes
AT syedatehminaejaz numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes