A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.

Bibliographic Details
Main Authors: Syeda Tehmina Ejaz, Ghulam Mustafa
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/5026504
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spelling doaj-a16af33b38234244b00bfbb1731168ef2021-07-02T02:28:27ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/50265045026504A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value ProblemsSyeda Tehmina Ejaz0Ghulam Mustafa1Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanWe construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.http://dx.doi.org/10.1155/2016/5026504
collection DOAJ
language English
format Article
sources DOAJ
author Syeda Tehmina Ejaz
Ghulam Mustafa
spellingShingle Syeda Tehmina Ejaz
Ghulam Mustafa
A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
Advances in Mathematical Physics
author_facet Syeda Tehmina Ejaz
Ghulam Mustafa
author_sort Syeda Tehmina Ejaz
title A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
title_short A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
title_full A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
title_fullStr A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
title_full_unstemmed A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
title_sort subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2016-01-01
description We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.
url http://dx.doi.org/10.1155/2016/5026504
work_keys_str_mv AT syedatehminaejaz asubdivisionbasediterativecollocationalgorithmfornonlinearthirdorderboundaryvalueproblems
AT ghulammustafa asubdivisionbasediterativecollocationalgorithmfornonlinearthirdorderboundaryvalueproblems
AT syedatehminaejaz subdivisionbasediterativecollocationalgorithmfornonlinearthirdorderboundaryvalueproblems
AT ghulammustafa subdivisionbasediterativecollocationalgorithmfornonlinearthirdorderboundaryvalueproblems
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