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

@article{Bassuony2018ALM,
  title={A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation},
  author={M. A. Bassuony and Waleed Mohamed Abd-Elhameed and Eid H. Doha and Youssri Hassan Youssri},
  journal={East Asian Journal on Applied Mathematics},
  year={2018}
}
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. AMS subject classifications: 65M70, 33C45 
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