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个人信息Personal Information
教授 博士生导师 硕士生导师
性别：女
毕业院校：山东大学
学历：博士研究生毕业
学位：理学博士学位
在职信息：在职
所在单位：数学学院
入职时间：1986-07-01
学科：应用数学
办公地点：知新楼B座
联系方式：邮箱：wqjxyf@sdu.edu.cn
An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions
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所属单位：数学学院
发表刊物：Computers & Mathematics with Applications
关键字：Two-dimensional nonlinear time fractional advection-diffusion equation; Linearized L1 Legendre-Galerkin spectral method; Optimal error estimate; Error splitting argument technique; Correction method
摘要：In this paper, a linearized L1 Legendre-Galerkin spectral method for the two-dimensional nonlinear time fractional advection-diffusion equation is derived. The numerical method is stable without the CFL conditions based on the error splitting argument technique and the discrete fractional Gronwall type inequality. We also consider the case of non-smooth solutions by adding some correction terms. The numerical experiments are given to verify the theoretical analysis and the effectiveness of the correction method.
第一作者：张慧
论文类型：基础研究
通讯作者：贾俊青,蒋晓芸
学科门类：理学
一级学科：数学
卷号：79
期号：10
页面范围：2819-2831
是否译文：否
发表时间：2020-05-01
收录刊物：SCI