A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

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Abstract

We consider a Galerkin method based on Legendre and Laguerre polynomials and apply it to the Euler-Bernoulli beam equation. The matrices of the method are well structured, which results in substantial reduction of computational cost. Numerical examples demonstrate the efficiency and a high accuracy of the algorithm proposed.

Keywords:

Euler-Bernoulli beam equations Galerkin-method Legendre polynomials Laguerre polynomials.
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DOI

10.4208/eajam.060717.140118a