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

作者：Chen S; Liu F^*; Anh V

来源：Numerical Algorithms, 2011, 56(4): 517-535.

DOI：10.1007/s11075-010-9402-0

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

In this paper, a novel implicit finite difference method for the one-dimensional fractional percolation equation is proposed. Consistency, stability and convergence of the method are established. Some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis.

• 出版日期2011-4
• 单位泉州师范学院