High-Order Algorithms for Riesz Derivative and their Applications (III)

被引：0
|
作者：
Ding Hengfei
Li Changpin
机构：
[1] Tianshui Normal University,School of Mathematics and Statistics
[2] Shanghai University,Department of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2016年 / 19卷
关键词：
65M06; 65M12; space fractional turbulent diffusion equation; high-order algorithms; stability analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Numerical methods for fractional calculus attract increasing interest due to its wide applications in various fields such as physics, mechanics, etc. In this paper, we focus on constructing high-order algorithms for Riesz derivatives, where the convergence orders cover from the second order to the sixth order. Then we apply the established schemes to the Riesz type turbulent diffusion equation (or, Riesz space fractional turbulent diffusion equation). Numerical experiments are displayed which support the theoretical analysis.
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页码：19 / 55
页数：36
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