High order numerical method for nonlinear fractional ordinary differential equa-tions with initial value singularity
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.
nonlinear fractional ordinary differential equationinitial value singularityhigh order numerical scheme
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