In this paper, we derive error estimates for the semi-discrete Galerkin approximations of a long flexible Euler-Bernoulli beam with variable coefficients.

We use Crank-Nicholson scheme for the approximation of our hybrid system in time.

Finally, we give some numerical experiments to illustrate our analysis.

beam equation, Crank-Nicolson scheme, dissipative numerical method, finite element methods, a-priori estimate.

Received: August 6, 2022; Accepted: September 16, 2022; Published: October 21, 2022

How to cite this article: Yapi S. A. Joresse, Bomisso G. Jean-Marc, Yoro Gozo and Touré K. Augustin, A dissipative numerical method for hybrid system with variable coefficients, International Journal of Numerical Methods and Applications 22 (2022), 41-65. http://dx.doi.org/10.17654/0975045222006

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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