An implicit numerical method for the two-dimensional fractional percolation equation

作者：Chen S; Liu F^*; Turner I; Anh V

来源：Applied Mathematics and Computation, 2013, 219(9): 4322-4331.

DOI：10.1016/j.amc.2012.10.003

• Fractional percolation equation
• Implicit finite difference method
• Consistency
• Stability
• Convergence

In this paper, an implicit numerical method for the two-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 the theoretical analysis.

• 出版日期2013-1-1
• 单位泉州师范学院