A DISSIPATIVE NUMERICAL METHOD FOR HYBRID SYSTEM WITH VARIABLE COEFFICIENTS
Keywords:
beam equation, Crank-Nicolson scheme, dissipative numerical method, finite element methods, a-priori estimate.DOI:
https://doi.org/10.17654/0975045222006Abstract
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.
Received: August 6, 2022
Accepted: September 16, 2022
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