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A second-order numerical method for nonlinear variable-order fractional diffusion equation with time delay

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成果类型:
期刊论文
作者:
Li, Jing;Kang, Xinyue;Shi, Xingyun;Song, Yufei
通讯作者:
Li, J
作者机构:
[Kang, Xinyue; Shi, Xingyun; Li, Jing; Song, Yufei] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
通讯机构:
[Li, J ] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
语种:
英文
关键词:
Nonlinear variable-order diffusion equation;L2-1(sigma) formula;Stability;Convergence
期刊:
Mathematics and Computers in Simulation
ISSN:
0378-4754
年:
2024
卷:
219
页码:
101-111
基金类别:
National Natural Science Foundation of China [12126408]; Hunan Provincial Natural Science Foundation of China [2021JJ30697]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, a linearized numerical scheme of nonlinear variable-order fractional diffusion equation with time delay is constructed. We apply the L2-1(sigma) formula to discretize the temporal derivative and second-order central difference scheme to discretize the spatial derivative. The proposed method is unconditionally stable and convergent with O(tau(2)+h(2)), where tau and h are the time and space steps, respectively. Numerical experiment demonstr...

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