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

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN