Numerical Solving Two-dimensional Variable-order Fractional Advection-dispersion Equation

نویسندگان

  • Liping Wen
  • Xiaolin Tang
چکیده

Abstract: In this paper, a two-dimensional variable-order fractional advection-dispersion equation with variable coefficient is considered. The numerical method with first order temporal accuracy and first order spatial accuracy is proposed. The convergence and stability of the numerical method are analyzed by using energy method. Finally, the results of a numerical example supports the theoretical analysis.

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تاریخ انتشار 2014