右侧Caputo分数阶导数的L2-1插值逼近  

Interpolation Approximation of the Right Side of the Caputo Fractional Derivative

作　　者：杜瑞连[1] 梁宗旗[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2017年第4期68-74,共7页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(11201178);福建省科技厅重点项目(2014H0034)

摘　　要：对右侧α(0<α<1)阶Caputo分数阶导数在t=t_k处进行了差分离散,分别在区间[t_(j-1),t_j](j∈[k+1,N-1])上用L2插值,在区间[t_(N-1),t_N]上用L1插值,构造了L2-1差分格式,给出了相关的系数性质,并证明了其收敛阶为O(Δt^(3-α))。The difference of the right side of the Caputo fractional derivation at t = tk was discretized by using L2 interpolation on interval [tj-1,tj]（j∈[k＋1,N-1]）and L1 interpolation on interval [tN-1 ,tN ] re- spectively. The L2 - 1 difference scheme was constructed, and the properties of the related coefficient were given, and it was proved that the convergence order was O（Δt3-α） .

关 键 词：右侧Caputo导数 L1插值 L2插值 收敛阶 

分 类 号：O241.82[理学—计算数学]