期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 15, 期 5, 页码 1253-1258出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2009.05.072
关键词
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. (C) 2009 Published by Elsevier B.V.
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