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Yao, N. and Luo, Z. (2019) Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative. Journal of Applied Mathematics and Physics, 7, 1067-1076. https://doi.org/10.4236/jamp.2019.75072

has been cited by the following article:

• 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.