"Using Finite Volume-Element Method for Solving Space Fractional Advect" by Allahbakhsh Yazdani, Navid Mojahed et al.

Progress in Fractional Differentiation & Applications

Article Title

Using Finite Volume-Element Method for Solving Space Fractional Advection-Dispersion Equation

Authors

Allahbakhsh Yazdani, Faculty of Mathematical Sciences,University of Mazandaran,Babolsar, IranFollow
Navid Mojahed
Afshin Babaei
Elena Vazquez Cendon

Author Country (or Countries)

Iran

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060106

Recommended Citation

Yazdani, Allahbakhsh; Mojahed, Navid; Babaei, Afshin; and Vazquez Cendon, Elena (2020) "Using Finite Volume-Element Method for Solving Space Fractional Advection-Dispersion Equation," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/060106
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss1/6

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