标题:A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions
作者:Zheng, Rumeng ;Liu, Fawang ;Jiang, Xiaoyun
作者机构:[Zheng, Rumeng ;Jiang, Xiaoyun ] School of Mathematics, Shandong University, Jinan; 250100, China;[Liu, Fawang ] College of Mathematics and Computer S 更多
通讯作者:Liu, Fawang
通讯作者地址:[Liu, F] School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Australia;
来源:Applied Mathematics Letters
出版年:2020
卷:104
DOI:10.1016/j.aml.2020.106247
关键词:Fast algorithm; L1 method on graded meshes; Legendre spectral method; Non-smooth solutions; Stability and convergence; Two-dimensional multi-term time-fractional diffusion equation
摘要:In this paper, we consider a Legendre spectral method on graded meshes for solving the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions. The L1 method on graded meshes is developed in temporal direction. In the spatial direction, we choose the Legendre spectral method. With the help of mathematical induction method, the stability and convergence of the above mentioned method are theoretically proved. To improve the computational efficiency, we use the fast algorithm in the numerical implementation. Some numerical results are provided to verify the theoretical analysis and demonstrate the effectiveness of our method. © 2020 Elsevier Ltd
收录类别:EI;SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078973030&doi=10.1016%2fj.aml.2020.106247&partnerID=40&md5=bd3f4e1d7aabef867a7e4ea8169c3cda
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