The exact solutions of high order schemes for nonlinear fractional ordinary differential equations gener-ally have initial value singularity.By introducing changes in initial variables and block by block method,a new high order numerical scheme is proposed using the Lagrange interpolation formula.This high order numerical scheme is the 5+α order under the condition of non-smooth solutions.
关键词
非线性分数阶常微分方程/初值奇异性/高阶数值格式
Key words
nonlinear fractional ordinary differential equation/initial value singularity/high order numerical scheme
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