Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis

Alipour, Mohsen; Baleanu, Dumitru; Babaei, Fereshteh

dc.contributor.author	Alipour, Mohsen
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Babaei, Fereshteh
dc.date.accessioned	2020-04-29T22:50:24Z
dc.date.available	2020-04-29T22:50:24Z
dc.date.issued	2014
dc.identifier.issn	1085-3375
dc.identifier.issn	1687-0409
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3532
dc.description.abstract	We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Hindawi LTD	tr_TR
dc.relation.isversionof	10.1155/2014/623763	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Numerical-Solition	tr_TR
dc.title	Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Abstract and Applied Analysis	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR