|本期目录/Table of Contents|

[1]邱敏,程秀俊.诺伊曼边界条件下分数阶次扩散方程的紧差分格式[J].浙江理工大学学报,2021,45-46(自科二):234-241.
　QIU Min,CHENG Xiujun.A compact difference scheme for fractional subdiffusion equations with Neumann boundary conditions[J].Journal of Zhejiang Sci-Tech University,2021,45-46(自科二):234-241.
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诺伊曼边界条件下分数阶次扩散方程的紧差分格式()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第45-46卷
期数:
2021年自科第二期
页码:
234-241
栏目:
出版日期:
2021-03-10

文章信息/Info

Title:
A compact difference scheme for fractional subdiffusion equations with Neumann boundary conditions
文章编号:
1673-3851 (2021) 03-0234-08
作者:
邱敏; 程秀俊
浙江理工大学理学院，杭州 310018
Author(s):
QIU Min;  CHENG Xiujun
School of Science, Zhejiang Sci-Tech university, Hangzhou 310018, China
关键词:
诺伊曼边界条件; 分数阶次扩散方程; 紧差分格式; Caputo分数阶导数
分类号:
O242-2
文献标志码:
A
摘要:
对于诺伊曼边界条件下时间分数阶次扩散方程，提出了紧差分格式，并用该格式数值求解方程。首先，由于该方程在时间为0处解的不光滑性，因此使用非一致网格上的L1格式对时间方向进行离散，一致网格上的紧差分格式对空间方向进行离散，建立紧差分格式；其次，通过离散的能量方法，给出该格式在二范数意义下的收敛性分析；最后，通过Matlab进行数值模拟，验证该格式的有效性。该结果进一步地丰富了分数阶方程的数值算法。

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期：2020-10-22
网络出版日期：2021-02-03
基金项目：国家自然科学基金项目(11901527)；浙江理工大学科研启动基金(19062116-Y)
作者简介：邱敏(1998-)，女，重庆开州人，本科生，主要从事微分方程数值解方面的研究
通信作者：程秀俊，E-mail：xiujuncheng@zstu.edu.cn
更新日期/Last Update: 2021-03-23