A numerical algorithm for the solution of an intermediate fractional advection dispersion equation

作者：El Sayed A M A; Behiry S H; Raslan W E^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(5): 1253-1258.

DOI：10.1016/j.cnsns.2009.05.072

• Fractional derivative
• Advection dispersion equation
• Intermediate physical processes

One of the main applications of fractional derivative is in the modeling of intermediate physical processes. In this work, the methodology of fractional calculus is used to model the intermediate process between advection and dispersion as an initial-boundary-value problem for a partial differential equation of fractional order with one spatial variable and constant coefficients. A numerical algorithm based on symbolic computations for the solution of the problem is suggested and tested with good results.

• 出版日期2010-5