Fractional spectral differentiation matrices based on Legendre approximation

Ghorbani, Asghar; Baleanu, Dumitru

dc.contributor.author	Ghorbani, Asghar
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2021-01-29T11:15:46Z
dc.date.available	2021-01-29T11:15:46Z
dc.date.issued	2020-03-26
dc.identifier.citation	Ghorbani, Asghar; Baleanu, Dumitru (2020). "Fractional spectral differentiation matrices based on Legendre approximation", Advances in Difference Equations, Vol. 2020, No. 1.	tr_TR
dc.identifier.issn	1687-1847
dc.identifier.uri	http://hdl.handle.net/20.500.12416/4515
dc.description.abstract	A simple scheme is proposed for computing NxN spectral differentiation matrices of fractional order alpha for the case of Legendre approximation. The algorithm derived here is based upon a homogeneous three-term recurrence relation and is numerically stable. The matrices are then applied to numerically differentiate.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13662-020-02590-4	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Spectral Differentiation Matrices	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Legendre Polynomials	tr_TR
dc.subject	Numerical Differentiation	tr_TR
dc.title	Fractional spectral differentiation matrices based on Legendre approximation	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances in Difference Equations	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	2020	tr_TR
dc.identifier.issue	1	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR