A new high order discretization method for Caputo derivative
A new discrete scheme for the fractional order test equation is proposed.The scheme is developed based on L1-2 and BDF3 methods,so that the 3-α order is obtained for the singular source term f.Error analysis is carried out in detail.Finally,a corresponding numerical example is provided to calculate the error of the scheme and to verify the con-vergence order.
fractional test equationCaputo fractional derivativeL1-2 methodBDF3 methodconvergence order
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