The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the so...

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Main Authors: Syeda Tehmina Ejaz, Dumitru Baleanu, Ghulam Mustafa, Safia Malik, Yu-Ming Chu
Format: Article
Language:English
Published: AIP Publishing LLC 2020-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0017884
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spelling doaj-5ede4629f3034cd98ed7de8197946f692020-11-25T03:46:04ZengAIP Publishing LLCAIP Advances2158-32262020-09-01109095322095322-910.1063/5.0017884The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithmSyeda Tehmina Ejaz0Dumitru Baleanu1Ghulam Mustafa2Safia Malik3Yu-Ming Chu4Department of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, Cankaya University, Ankara 06530, Turkey and Institute of Space Sciences, 077125 Magurele, Bucharest, RomaniaDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, People’s Republic of China and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, People’s Republic of ChinaThe subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.http://dx.doi.org/10.1063/5.0017884
collection DOAJ
language English
format Article
sources DOAJ
author Syeda Tehmina Ejaz
Dumitru Baleanu
Ghulam Mustafa
Safia Malik
Yu-Ming Chu
spellingShingle Syeda Tehmina Ejaz
Dumitru Baleanu
Ghulam Mustafa
Safia Malik
Yu-Ming Chu
The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
AIP Advances
author_facet Syeda Tehmina Ejaz
Dumitru Baleanu
Ghulam Mustafa
Safia Malik
Yu-Ming Chu
author_sort Syeda Tehmina Ejaz
title The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
title_short The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
title_full The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
title_fullStr The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
title_full_unstemmed The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
title_sort numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2020-09-01
description The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.
url http://dx.doi.org/10.1063/5.0017884
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