摘要
研究带漂移的单侧正规化回火分数阶扩散方程的数值格式基于已有的针对单侧正规化回火分数阶扩散方程的三阶拟紧算法,将该算法的思想应用于带漂移的单侧正规化回火分数阶扩散方程的数值模拟,导出数值格式证明了数值格式的稳定性与收敛性,并通过数值试验验证了数值格式的有效性.
Numerical schemes of the one-sided normalized tempered fractional diffusion equations with drift are studied.Based on the existed third-order quasi-compact algorithm for onesided normalized tempered fractional diffusion equations,the idea of the algorithm is applied to the numerical simulation of the one-sided normalized tempered fractional diffusion equations with drift and the numerical schemes are obtained.The stability and convergence of the numerical schemes are proved,and the effectiveness of the numerical schemes are verified by numerical experiments.
作者
邱泽山
曹学年
Qiu Zeshan;Cao Xuenian(School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China)
出处
《数值计算与计算机应用》
2020年第3期201-215,共15页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(11671343).
关键词
正规化回火分数阶扩散方程
漂移
稳定性
收敛性
Normalized tempered fractional diffusion equations
Drift
Stability
Convergence.
