TITLE:
Numerical Solution of Euler-Bernoulli Beam Equation by Using Barycentric Lagrange Interpolation Collocation Method
AUTHORS:
Haolu Zhang, Lianwang Chen, Lei Fu
KEYWORDS:
Barycentric Interpolation Collocation Method, Euler-Bernoulli Beam Equation, Linearized Iterative
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.4,
April
19,
2021
ABSTRACT: Euler-Bernoulli beam equation is very important that can be applied in the field of mechanics, science and technology. Some authors have put forward many different numerical methods, but the precision is not enough high. In this paper, we will illustrate the high-precision numerical method to solve Euler-Bernoulli beam equation. Three numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by our method indicate new algorithm has the following advantages: small computational work, fast convergence speed and high precision.