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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 & Y.H. Youssri

DOI: 10.4208/eajam.060717.140118a

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

Published online: 2018-05

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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.

  • AMS Subject Headings

65M70, 33C45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-280, author = {}, title = {A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {280--295}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.060717.140118a}, url = {http://global-sci.org/intro/article_detail/eajam/12205.html} }
TY - JOUR T1 - A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation JO - East Asian Journal on Applied Mathematics VL - 2 SP - 280 EP - 295 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.060717.140118a UR - https://global-sci.org/intro/article_detail/eajam/12205.html KW - Euler-Bernoulli beam equations, Galerkin-method, Legendre polynomials, Laguerre polynomials. AB -

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.

M.A. Bassuony, W.M. Abd-Elhameed, E.H. Doha & Y.H. Youssri. (2020). A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation. East Asian Journal on Applied Mathematics. 8 (2). 280-295. doi:10.4208/eajam.060717.140118a
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