邱泽山, 曹学年

湘潭大学数学与计算科学学院, 湘潭 411105

收稿日期:2019-07-25发布日期:2021-05-13
通讯作者:曹学年,cxn@xtu.edu.cn.

基金资助:国家自然科学基金（12071403）资助.

CRANK-NICOLSON QUASI-COMPACT SCHEMES FOR ONE-SIDED NORMALIZED TEMPERED FRACTIONAL DIFFUSION EQUATIONS WITH DRIFT

Qiu Zeshan, Cao Xuenian

School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Received:2019-07-25Published:2021-05-13







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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，并结合Crank-Nicolson方法导出数值格式.证明了数值格式的稳定性与收敛性，且数值格式的时间收敛阶和空间收敛阶分别是二阶和三阶.通过数值试验验证了数值格式的有效性和理论结果.
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