IMPLICIT DIFFERENCE APPROXIMATION FOR A TIME FRACTIONAL ADVECTIONDISPERSION EQUATION

• 作者: Chen Chunhua Liu Fawang Lu Xuanzhu
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 时间对流离散方程 隐式差分方程 稳定性 收敛性
• 年，卷（期）: 2005,（3）
• 页码范围: 250-255
• 页数: 6页
• 分类号: O175

摘要

<正>In this paper, a time fractional advection-dispersion equation is considered. From the relationship between the Caputo derivative and the Grunwald derivative, the Caputo derivative is approximated by using the Griinwald derivative. An implicit difference approximation for this equation is proposed. We prove that this approximation is unconditionally stable and convergent. Finally, numerical examples are given.