Finite Element Solution to Advection-Dispersion Equations with Time-Space Fractional Derivatives

doi:10.3969/j.cnki.jdxb.2016.01.002

journal6 ›› 2016, Vol. 37 ›› Issue (1): 7-10.DOI: 10.3969/j.cnki.jdxb.2016.01.002

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Finite Element Solution to Advection-Dispersion Equations with Time-Space Fractional Derivatives

WU Hong-Ying

(School of Mathematics Computation Science，Huaihua University，Huaihua 418008，Hunan China)

Online:2016-01-25 Published:2016-01-21

Abstract

Abstract: Generally，there is no analytical solution for time-space fractional advection-dispersion equations.The finite element method is the effective approach for numerical simulation.In this article a time-semi discrete variable formulas and the corresponding FE equations are derived.Numerical example illustrates that the FEM iteration algorithm has 2－α_i order and fourth order convergence rates for time and space，respectively.

Key words: fractional advection-dispersion equations, fractional differential operations, variable formulas, iteration algorithm

WU Hong-Ying. Finite Element Solution to Advection-Dispersion Equations with Time-Space Fractional Derivatives[J]. journal6, 2016, 37(1): 7-10.

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Finite Element Solution to Advection-Dispersion Equations with Time-Space Fractional Derivatives

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