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Approximate solution of the fractional advection–dispersion equation
- Source :
-
Computer Physics Communications . Mar2010, Vol. 181 Issue 3, p557-561. 5p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we consider practical numerical method to solve a space–time fractional advection–dispersion equation with variable coefficients on a finite domain. The equation is obtained from the standard advection–dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative, and the first-order and second-order space derivatives by the Riemann–Liouville fractional derivative, respectively. Here, a new method for solving this equation is proposed in the reproducing kernel space. The representation of solution is given by the form of series and the n-term approximation solution is obtained by truncating the series. The method is easy to implement and the numerical results show the accuracy of the method. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00104655
- Volume :
- 181
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Computer Physics Communications
- Publication Type :
- Periodical
- Accession number :
- 47555586
- Full Text :
- https://doi.org/10.1016/j.cpc.2009.11.004