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- Title
Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions.
- Authors
Guo, Boling; Xu, Qiang; Yin, Zhe
- Abstract
An implicit finite difference method is developed for a one-dimensional fractional percolation equation (FPE) with the Dirichlet and fractional boundary conditions. The stability and convergence are discussed for two special cases, i.e., a continued seepage flow with a monotone percolation coefficient and a seepage flow with the fractional Neumann boundary condition. The accuracy and efficiency of the method are checked with two numerical examples.
- Subjects
FINITE difference method; FRACTIONAL calculus; PERCOLATION theory; DIRICHLET problem; BOUNDARY value problems; NEUMANN boundary conditions
- Publication
Applied Mathematics & Mechanics, 2016, Vol 37, Issue 3, p403
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-016-2036-6