The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and non-singular types based on the conformable fr...

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Autores principales:	Ahlem Ben Rabah, Shaher Momani, Omar Abu Arqub
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Fractional differential equation B-spline collocation method Conformable derivative Initial value problem Lane-Emden type model Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/4bfa7d1f370244db91778cadf19f506e
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id	oai:doaj.org-article:4bfa7d1f370244db91778cadf19f506e
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spelling	oai:doaj.org-article:4bfa7d1f370244db91778cadf19f506e2021-11-18T04:45:13ZThe B-spline collocation method for solving conformable initial value problems of non-singular and singular types1110-016810.1016/j.aej.2021.06.011https://doaj.org/article/4bfa7d1f370244db91778cadf19f506e2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S111001682100380Xhttps://doaj.org/toc/1110-0168In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and non-singular types based on the conformable fractional derivative. As a special case, the singular Lane-Emden type model is presented such that the source fractional differential equation is transformed at the point of singularity. The converted issue is then solved by using third B-splines on a uniform mesh approximation procedure with help of Mathematica 11. Several illustrative examples are incorporated to demonstrate the efficiency, validity, and applicability of the proposed technique for such conformable problems.Ahlem Ben RabahShaher MomaniOmar Abu ArqubElsevierarticleFractional differential equationB-spline collocation methodConformable derivativeInitial value problemLane-Emden type modelEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 963-974 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional differential equation B-spline collocation method Conformable derivative Initial value problem Lane-Emden type model Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Fractional differential equation B-spline collocation method Conformable derivative Initial value problem Lane-Emden type model Engineering (General). Civil engineering (General) TA1-2040 Ahlem Ben Rabah Shaher Momani Omar Abu Arqub The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
description	In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and non-singular types based on the conformable fractional derivative. As a special case, the singular Lane-Emden type model is presented such that the source fractional differential equation is transformed at the point of singularity. The converted issue is then solved by using third B-splines on a uniform mesh approximation procedure with help of Mathematica 11. Several illustrative examples are incorporated to demonstrate the efficiency, validity, and applicability of the proposed technique for such conformable problems.
format	article
author	Ahlem Ben Rabah Shaher Momani Omar Abu Arqub
author_facet	Ahlem Ben Rabah Shaher Momani Omar Abu Arqub
author_sort	Ahlem Ben Rabah
title	The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
title_short	The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
title_full	The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
title_fullStr	The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
title_full_unstemmed	The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
title_sort	b-spline collocation method for solving conformable initial value problems of non-singular and singular types
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/4bfa7d1f370244db91778cadf19f506e
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The B-spline collocation method for solving conformable initial value problems of non-singular and singular types

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