A High Order Numerical Algorithm for the Model of Viscoelastic Fractional Derivative

Zi-Qiang WANG, Xun YANG, Jun-Ying CAO

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.

Keywords


Viscoelastic, Fractional Derivative, High Order Numerical Algorithm


DOI
10.12783/dtcse/aice-ncs2016/5738

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