The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems

In this analysis, the cubic B-spline method is employed for constructing the approximate solutions of a class of fractional two-point boundary value problems. These fractional problems are expressed in terms of the conformable fractional derivative approach. More deeply, a class of conformable Lane-...

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Autores principales:	Soumia Tayebi, Shaher Momani, Omar Abu Arqub
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Cubic B-Spline method Lane-Emden type model Boundary value problem Conformable derivative Conformable differential equation Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/bb3d487748fe410f863a40649df732f7
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id	oai:doaj.org-article:bb3d487748fe410f863a40649df732f7
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spelling	oai:doaj.org-article:bb3d487748fe410f863a40649df732f72021-11-18T04:45:33ZThe cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems1110-016810.1016/j.aej.2021.06.057https://doaj.org/article/bb3d487748fe410f863a40649df732f72022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004221https://doaj.org/toc/1110-0168In this analysis, the cubic B-spline method is employed for constructing the approximate solutions of a class of fractional two-point boundary value problems. These fractional problems are expressed in terms of the conformable fractional derivative approach. More deeply, a class of conformable Lane-Emden model is considering and modifying with singularities. Many numerical applications are presented and discussed to exhibit the feasibility and efficiency of the procedure involved in both linear and non-linear cases. The numerical findings are quite similar to those of the exact solutions as well as require relatively less computational work. Latterly, remarks and future research work are provided.Soumia TayebiShaher MomaniOmar Abu ArqubElsevierarticleCubic B-Spline methodLane-Emden type modelBoundary value problemConformable derivativeConformable differential equationEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1519-1528 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Cubic B-Spline method Lane-Emden type model Boundary value problem Conformable derivative Conformable differential equation Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Cubic B-Spline method Lane-Emden type model Boundary value problem Conformable derivative Conformable differential equation Engineering (General). Civil engineering (General) TA1-2040 Soumia Tayebi Shaher Momani Omar Abu Arqub The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
description	In this analysis, the cubic B-spline method is employed for constructing the approximate solutions of a class of fractional two-point boundary value problems. These fractional problems are expressed in terms of the conformable fractional derivative approach. More deeply, a class of conformable Lane-Emden model is considering and modifying with singularities. Many numerical applications are presented and discussed to exhibit the feasibility and efficiency of the procedure involved in both linear and non-linear cases. The numerical findings are quite similar to those of the exact solutions as well as require relatively less computational work. Latterly, remarks and future research work are provided.
format	article
author	Soumia Tayebi Shaher Momani Omar Abu Arqub
author_facet	Soumia Tayebi Shaher Momani Omar Abu Arqub
author_sort	Soumia Tayebi
title	The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
title_short	The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
title_full	The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
title_fullStr	The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
title_full_unstemmed	The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
title_sort	cubic b-spline interpolation method for numerical point solutions of conformable boundary value problems
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/bb3d487748fe410f863a40649df732f7
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The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems

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