A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations

Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru

dc.contributor.author	Amiri, Sadegh
dc.contributor.author	Hajipour, Mojtaba
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2020-05-06T06:40:36Z
dc.date.available	2020-05-06T06:40:36Z
dc.date.issued	2020-04-01
dc.identifier.citation	Amiri, S.; Hajipour, M.; Baleanu, D.,"A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations", Applied Mathematics and Computation, Vol. 370, (2020).	tr_TR
dc.identifier.issn	00963003
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3627
dc.description.abstract	The aim of this paper is to investigate an efficient numerical method based on a novel shifted piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind. Using operational matrices of integration for the proposed basis functions, this integral equation is transformed into a system of nonlinear algebraic equations. The convergence and error analysis of the proposed method are studied. Some comparative results are provided to verify the efficiency of the presented method.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Elsevier INC	tr_TR
dc.relation.isversionof	10.1016/j.amc.2019.124915	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Nonlinear Equations	tr_TR
dc.subject	Piecewise Cosine Basis	tr_TR
dc.subject	Volterra–Fredholm Integral Equations	tr_TR
dc.title	A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Applied Mathematics and Computation	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	370	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR