Eur. Phys. J. Special Topics 193, 205-220 (2011)
https://doi.org/10.1140/epjst/e2011-01392-4

Regular Article

A novel implicit finite difference method for the three-dimensional fractional percolation equation

Department of Mathematics, Quanzhou Normal University, Quanzhou, Fujian, China

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Received: 1 December 2010
Revised: 27 January 2011
Published online: 4 April 2011

Abstract

In this paper, an implicit numerical method for the three-dimensional fractional percolation equation without the assumption of continued and rigid body motion is proposed. Consistency, stability and convergence of the implicit finite difference method are established. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis.