Abstract
In this paper, we construct a high order scheme to efficiently solve the forced vibration equation of viscoelastic material. The proposed method is based on a finite difference scheme in time. We used central difference scheme to the second derivative with second order accurate and 3 order accurate scheme to the fractional derivative of the order ,0 1. We obtain that the numerical scheme is second order. The convergence analysis is given that the numerical approximation of the exact solution accuracy as a second order. A series of numerical examples are given to verify the correctness of the theoretical analysis.
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