High order numerical treatment of the Riesz space fractional advection-dispersion equation via matrix transform method
Abdollah Borhanifar,
Sohrab Valizadeh
Abstract:In this paper, a mixed high order finite difference scheme-Padé approximation method is applied to obtain numerical solution of the Riesz space fractional advection-dispersion equation(RSFADE). This method is based on the high order finite difference scheme that derived from fractional centered difference and Padé approximation method for space and time integration, respectively. The stability analysis of the proposed method is discussed via theoretical matrix analysis. Numerical experiments are presented to c… Show more
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