TITLE:
A Compact Difference Method for Viscoelastic Plate Vibration Equation
AUTHORS:
Cailian Wu, Congcong Wei, Ailing Zhu
KEYWORDS:
Viscoelastic Plate Vibration Equation, Compact Difference Method, Stability, Convergence
JOURNAL NAME:
Engineering,
Vol.13 No.11,
November
30,
2021
ABSTRACT: In this paper, a fourth-order viscoelastic plate vibration equation is transformed into a set of two second-order differential equations by introducing an intermediate variable. A three-layer compact difference scheme for the initial-boundary value problem of the viscoelastic plate vibration equation is established. Then the stability and convergence of the difference scheme are analyzed by the energy method, and the convergence order is . Finally, some numerical examples are given of which results verify the accuracy and validity of the scheme.