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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
Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
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所属单位：数学学院
发表刊物：Applied Numerical Mathematics
关键字：Two-dimensional nonlinear time fractional diffusion-wave equation; Optimal error estimate; Crank-Nicolson method; Legendre spectral method
摘要：In this paper, we develop a Crank-Nicolson Legendre spectral method for solving the two-dimensional nonlinear time fractional diffusion-wave equation in bounded rectangular domains. In terms of the error splitting argument technique, an optimal error estimate of the numerical scheme is obtained without any time-step size conditions, while the usual analysis for high dimensional nonlinear fractional problems always required certain time-step restrictions dependent on the spatial mesh size. Some numerical results are given to justify the theoretical analysis. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
全部作者：张慧,蒋晓芸
第一作者：张慧
论文类型：基础研究
论文编号：9CB0BCB610AE422C9B0DB1051E8AFB95
学科门类：理学
一级学科：数学
卷号：146
页面范围：1-12
是否译文：否
发表时间：2019-12-01
收录刊物：SCI
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