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- Title
Second-order accurate numerical approximations for the fractional percolation equations.
- Authors
Xiucao Yin; Lang Li; Shaomei Fang
- Abstract
First, we examine a practical numerical method which based on the classical Crank-Nicholson (CN) method combined with Richardson extrapolation is used to solve a class of one-dimensional initial-boundary value fractional percolation equation (FPE) with variable coefficients on a finite domain. Secondly, we present ADI-CN method for the two-dimensional fractional percolation equation. Stability and convergence of these methods are proved. Using these methods, we can achieve second-order convergence in time and space. Finally, numerical examples are presented to verify the order of convergence.
- Subjects
PERCOLATION; RICHARDSON extrapolation; STOCHASTIC convergence
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2017, Vol 10, Issue 8, p4122
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.010.08.08