DSpace Repository

Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation

Show simple item record

dc.contributor.author Zaky, M. A.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alzaidy, J. F.
dc.contributor.author Hashemizadeh, E.
dc.date.accessioned 2019-12-23T14:01:42Z
dc.date.available 2019-12-23T14:01:42Z
dc.date.issued 2018-03-22
dc.identifier.citation Zaky, M. A...et al. (2018). "Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation", Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2242
dc.description.abstract In this paper, we investigate numerical solution of the variable-order fractional Galilei advection-diffusion equation with a nonlinear source term. The suggested method is based on the shifted Legendre collocation procedure and a matrix form representation of variable-order Caputo fractional derivative. The main advantage of the proposed method is investigating a global approximation for the spatial and temporal discretizations. This method reduces the problem to a system of algebraic equations, which is easier to solve. The validity and effectiveness of the method are illustrated by an easy-to-follow example. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer International Publishing AG tr_TR
dc.relation.isversionof 10.1186/s13662-018-1561-7 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Variable-Order Derivative tr_TR
dc.subject Nonlinear Galilei Invariant Advection-Diffusion Equation tr_TR
dc.subject Collocation Method tr_TR
dc.subject Legendre Polynomials tr_TR
dc.title Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


Files in this item

This item appears in the following Collection(s)

Show simple item record