A subdivision-based approach for singularly perturbed boundary value problem

Abstract A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error...

Full description

Bibliographic Details
Main Authors:	Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Abdul Ghaffar, Kottakkaran Sooppy Nisar
Format:	Article
Language:	English
Published:	SpringerOpen 2020-06-01
Series:	Advances in Difference Equations
Subjects:	Singularly perturbed Boundary value problem Ordinary differential equation Interpolating schemes Subdivision scheme
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02732-8

id	doaj-11d7a9cc0dc94468ab32d2cc11343816
record_format	Article
spelling	doaj-11d7a9cc0dc94468ab32d2cc113438162020-11-25T03:20:56ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020112010.1186/s13662-020-02732-8A subdivision-based approach for singularly perturbed boundary value problemGhulam Mustafa0Syeda Tehmina Ejaz1Dumitru Baleanu2Abdul Ghaffar3Kottakkaran Sooppy Nisar4Department of Mathematics, The Islamia University of BahawalpurDepartment of Mathematics, The Islamia University of BahawalpurDepartment of Mathematics, Cankaya UniversityInformetrics Research Group, Ton Duc Thang UniversityDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz UniversityAbstract A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error estimation of the proposed approach are also presented.http://link.springer.com/article/10.1186/s13662-020-02732-8Singularly perturbedBoundary value problemOrdinary differential equationInterpolating schemesSubdivision scheme
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Abdul Ghaffar Kottakkaran Sooppy Nisar
spellingShingle	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Abdul Ghaffar Kottakkaran Sooppy Nisar A subdivision-based approach for singularly perturbed boundary value problem Advances in Difference Equations Singularly perturbed Boundary value problem Ordinary differential equation Interpolating schemes Subdivision scheme
author_facet	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Abdul Ghaffar Kottakkaran Sooppy Nisar
author_sort	Ghulam Mustafa
title	A subdivision-based approach for singularly perturbed boundary value problem
title_short	A subdivision-based approach for singularly perturbed boundary value problem
title_full	A subdivision-based approach for singularly perturbed boundary value problem
title_fullStr	A subdivision-based approach for singularly perturbed boundary value problem
title_full_unstemmed	A subdivision-based approach for singularly perturbed boundary value problem
title_sort	subdivision-based approach for singularly perturbed boundary value problem
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-06-01
description	Abstract A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error estimation of the proposed approach are also presented.
topic	Singularly perturbed Boundary value problem Ordinary differential equation Interpolating schemes Subdivision scheme
url	http://link.springer.com/article/10.1186/s13662-020-02732-8
work_keys_str_mv	AT ghulammustafa asubdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT syedatehminaejaz asubdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT dumitrubaleanu asubdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT abdulghaffar asubdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT kottakkaransooppynisar asubdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT ghulammustafa subdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT syedatehminaejaz subdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT dumitrubaleanu subdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT abdulghaffar subdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem AT kottakkaransooppynisar subdivisionbasedapproachforsingularlyperturbedboundaryvalueproblem
_version_	1724615580237955072

A subdivision-based approach for singularly perturbed boundary value problem

Similar Items