Volume 8, Issue 2
A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

M.A. Bassuony ,  W.M. Abd-Elhameed ,  E.H. Doha and Y.H. Youssri

10.4208/eajam.060717.140118a

East Asian J. Appl. Math., 8 (2018), pp. 280-295.

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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.

  • History

Published online: 2018-05

  • AMS Subject Headings

65M70, 33C45

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