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