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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
Using Finite Volume-Element Method for Solving Space Fractional Advection-Dispersion Equation
Type
JournalPaper
Keywords
Finite volume-element method, Advection-dispersion equation, Grunwald-Letnikov derivative, space fractional, fractional calculus.
Year
2020
Journal Progress in Fractional Differentiation and Applications
DOI
Researchers Allah Bakhsh Yazdani Cherati ، Navid Mojahed ، Afshin Babaei ، Elena Vazquez Cendon

Abstract

In this paper, the numerical solution for space fractional advection-dispersion problem in one-dimension is proposed by B-spline finite volume element method. The fractional derivative is Grunwald-Letnikov in the proposed scheme. The stability and convergence of the proposed numerical method are studied, and the numerical results support the exact results.