时间分数阶Fokker-Planck方程有限体积法
A Finite Volume Method for Time Fractional Fokker-Planck Equations
DOI: 10.12677/AAM.2019.82023, PDF,  被引量    国家自然科学基金支持
作者: 黄 兰：长沙理工大学数学与统计学院，湖南 长沙
关键词: 时间分数阶Fokker-Planck方程；有限体积法；Time Fractional Fokker-Planck Equations； Finite Volume Method
摘要: 我们设计一种有限体积法求解变外力场下的时间分数阶Fokker-Planck方程，其中外力场与时间空间相关。实验表明该方法在时间上和空间上分别具有一阶和二阶收敛性。
Abstract: We present a finite volume method for solving the time fractional Fokker-Planck equations with space-and-time-dependent forcing. Numerical test shows that the convergence rates for time and for space are order 1 and order 2 respectively.
文章引用：黄兰. 时间分数阶Fokker-Planck方程有限体积法[J]. 应用数学进展, 2019, 8(2): 203-209. https://doi.org/10.12677/AAM.2019.82023

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