中文摘要：

对右侧α（0〈α〈1）阶Caputo分数阶导数在t=tk处进行了差分离散,分别在区间[tj-1,tj]（j∈[k＋1,N-1]）上用L2插值,在区间[tN-1,tN]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（Δt3-α）。

英文摘要：

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） .