Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 57
Compact finite difference scheme for Euler-Bernoulli beam equation with a simply supported boundary conditions
M'Hamed Segaoui, My Driss Aouragh, Samir Khallouq
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 25, 2021
March 03, 2059
April 15, 2059

Abstract: The Euler-Bernoulli beam equation plays a very important role in various engineering applications. It is a parabolic differential equation of fourth-order which describes the transverse displacement of a beam. In this paper, a fourth-order compact finite difference method is developed to solve numerically this equation. First, the approximation by fourth-order compact finite difference is applied for the spatial derivative, secondly, the Crank-Nicolson approximation of order two is applied to the obtained temporal differential system. The proposed scheme is of the fourth-order in space and ...