Three Kinds of Discrete Formulae for the Caputo Fractional Derivative  

作　　者：Zhengnan Dong Enyu Fan Ao Shen Yuhao Su 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai,200444,China

出　　处：《Communications on Applied Mathematics and Computation》2023年第4期1446-1468,共23页应用数学与计算数学学报（英文）

摘　　要：In this paper,three kinds of discrete formulae for the Caputo fractional derivative are studied,including the modified L1 discretisation forα∈(O,1),and L2 discretisation and L2C discretisation forα∈(1,2).The truncation error estimates and the properties of the coeffcients of all these discretisations are analysed in more detail.Finally,the theoretical analyses areverifiedby thenumerical examples.

关 键 词：Caputo fractional derivative Modified L1 discretisation L2 discretisation L2C discretisation Truncation error 

分 类 号：O17[理学—数学]