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一类拟线性Sobolev方程的矩形网格混合体积元方法
  • 期刊名称：山东师范大学学报(自然科学版)
  • 时间：2013.3
  • 页码：23-26
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]Institute of Applied Physics and Computational Mathematics, Beijing 100088, China, [2]School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China
  • 相关基金：Project supporte＇d bY the National~Natural Science Foundation of China （Nos. 11171193 and 11371229）, the Natural Science Foundation of Shandong Province （No. ZR2014AM033）, and the Sci- ence and Technology Development Project of Shandong Province （No. 2012GGB01198）
  • 相关项目：间断混合体积（和有限体积）元方法的理论及其应用
作者： 姜子文|姜艳|
关键词： FRACTIONAL, PERCOLATION, equation(FPE), Riemann-Liouville, derivative, FRACTIONAL, boundary, condition, finite, difference, method, stability, and, convergence, TOEPLITZ, matrix, fractional percolation equation （FPE）, Riemann-Liouville derivative, frac-tional boundary condition, finite difference method, stability and convergence, Toeplitzmatrix
中文摘要：

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.更多还原

英文摘要：

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.

同期刊论文项目
间断混合体积（和有限体积）元方法的理论及其应用
期刊论文 49 会议论文 6
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