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Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains

dc.contributor.authorKhalil, Hammad
dc.contributor.authorKhan, Rahmat Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRashidi, Mohammad Mehdi
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-01-31T11:54:26Z
dc.date.available2020-01-31T11:54:26Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractEnormous application of fractional order partial differential equations (FPDEs) subjected to some constrains in the form of nonlocal boundary conditions motivated the interest of many scientists around the world. The prime objective of this article is to find approximate solution of a general FPDEs subject to nonlocal integral type boundary conditions on both ends of the domain. The proposed method is based on spectral method. We construct some new operational matrices which have the ability to handle integral type non-local boundary constrains. These operational matrices can be effectively applied to convert the FPDEs together with its integral types boundary conditions to easily solvable matrix equation. The accuracy and efficiency of proposed method are demonstrated by solving some bench mark problems. The proposed method has the ability to solve non-local FPDEs with high accuracy and low computational cost. Different aspects of presented approach are compared with two other recently developed methods, Haar wavelets collocation method and a family of collocation methods which are based on Radial base functions. It is observed that the proposed method is highly accurate, robust, efficient and stable as compared to these methods. (C) 2016 Elsevier Ltd. All rights reserved.en_US
dc.description.publishedMonth9
dc.identifier.citationKhalil, Hammad...et al. (2019). "Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains", Computers & Mathematics With Applications, Vol. 78, No. 6, pp. 1826-1837.en_US
dc.identifier.doi10.1016/j.camwa.2016.04.014
dc.identifier.endpage1837en_US
dc.identifier.issn0898-1221
dc.identifier.issue6en_US
dc.identifier.startpage1826en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2402
dc.identifier.volume78en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.ispartofComputers & Mathematics With Applicationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLegendre Polynomialsen_US
dc.subjectFractional Order Poisson Equationen_US
dc.subjectNonlocal Integral Boundary Conditionsen_US
dc.subjectOperational Matricesen_US
dc.titleSome new operational matrices and its application to fractional order Poisson equations with integral type boundary constrainstr_TR
dc.titleSome New Operational Matrices and Its Application To Fractional Order Poisson Equations With Integral Type Boundary Constrainsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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