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Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions 被引量：4

Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions
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摘要 An implicit finite difference method is developed for a one-dimensional frac- tional percolation equation （FPE） with the Dirichlet and fractional boundary conditions. The stability and convergence are discussed for two special cases, i.e., a continued seep- age 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. An implicit finite difference method is developed for a one-dimensional frac- tional percolation equation （FPE） with the Dirichlet and fractional boundary conditions. The stability and convergence are discussed for two special cases, i.e., a continued seep- age 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.
作者 Boling GUO Qiang XU Zhe YIN
机构地区 Institute of Applied Physics and Computational Mathematics School of Mathematical Sciences
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第3期403-416,共14页 应用数学和力学（英文版）
基金 supported by the National Natural Science Foundation of China(Nos.11171193 and11371229) the Natural Science Foundation of Shandong Province(No.ZR2014AM033) the Science and Technology Development Project of Shandong Province(No.2012GGB01198)
关键词 fractional percolation equation （FPE） Riemann-Liouville derivative frac-tional boundary condition finite difference method stability and convergence Toeplitzmatrix fractional percolation equation （FPE）, Riemann-Liouville derivative, frac-tional boundary condition, finite difference method, stability and convergence, Toeplitzmatrix
分类号 O241.82 [理学—计算数学]
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Applied Mathematics and Mechanics(English Edition)
2016年 第3期

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