Numerical Analysis of Linear and Nonlinear Time-Fractional Subdiffusion Equations  

作　　者：Yu bo Yang Fanhai Zeng 

机构地区：[1]Nanhu College,Jiaxing University,Jiaxing 314001,Zhejiang,China [2]Department of Mathematics,National University of Singapore,Singapore 119076,Singapore

出　　处：《Communications on Applied Mathematics and Computation》2019年第4期621-637,共17页应用数学与计算数学学报（英文）

摘　　要：In this paper,a new type of the discrete fractional Gronwall inequality is developed,which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdifiFusion equation.Based on the temporal-spatial error splitting argument technique,the discrete fractional Gronwall inequality is also applied to prove the unconditional convergence of a semi-implicit Galerkin spectral method for a nonlinear time-fractional subdififusion equation.

关 键 词：Time-fractional subdififusion equation Convolution QUADRATURE FRACTIONAL linear MULTISTEP methods Discrete FRACTIONAL GRONWALL inequality Unconditional stability 

分 类 号：O17[理学—数学]