Contents V.10, N.1, 2019

  • NUMERICAL APPROXIMATION OF TIME FRACTIONAL ADVECTION-DISPERSION MODEL ARISING FROM SOLUTE TRANSPORT IN RIVERS
    AHMAD GOLBABAI, OMID NIKAN, MAHBOUBEH MOLAVI-ARABSHAHI (pp. 117-131)
  • Abstract.

    In this note, radial basis functions (RBFs) approximation is utilized for solving fractional advection-dispersion equation, which has been used in groundwater hydrology as a reliable approach for modeling transport of passive tracers during fluid flow in a porous media. In this method, we discretize time fractional derivative of order in the range (0; 1] and spatial derivative terms by using the finite difference scheme and the Kansa method, respectively. Moreover, the stability and convergence of time-discretized scheme are performed in detail throughout the paper. Two numerical examples are included to illustrate the validity and applicability of the approach

    Keywords:

    time fractional derivative, time fractional advection-dispersion equation, radial basis functions, collocation method

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