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

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dc.contributor.author Khalil, Hammad
dc.contributor.author Khan, Rahmat Ali
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rashidi, Mohammad Mehdi
dc.date.accessioned 2020-01-31T11:54:26Z
dc.date.available 2020-01-31T11:54:26Z
dc.date.issued 2019-09-15
dc.identifier.citation Khalil, 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. tr_TR
dc.identifier.issn 0898-1221
dc.identifier.uri http://hdl.handle.net/20.500.12416/2402
dc.description.abstract Enormous 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.camwa.2016.04.014 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Legendre Polynomials tr_TR
dc.subject Fractional Order Poisson Equation tr_TR
dc.subject Nonlocal Integral Boundary Conditions tr_TR
dc.subject Operational Matrices tr_TR
dc.title Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains tr_TR
dc.type article tr_TR
dc.relation.journal Computers & Mathematics With Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 78 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 1826 tr_TR
dc.identifier.endpage 1837 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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