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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-d9cc752a04aa42f4818915d857892ad7 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |