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

• Mathematics • Previous Articles     Next Articles

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

 WU  Hong-Ying   

  1. (School of Mathematics Computation Science,Huaihua University,Huaihua 418008,Hunan China)
  • Online:2016-01-25 Published:2016-01-21

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-αi order and fourth order convergence rates for time and space,respectively.

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

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