Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 15, Issue 5, Pages 1253-1258Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2009.05.072
Keywords
Fractional derivative; Advection dispersion equation; Intermediate physical processes
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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. (C) 2009 Published by Elsevier B.V.
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