@Article{EAJAM-8-280,
author = {M.A. Bassuony, W.M. Abd-Elhameed, E.H. Doha and Y.H. Youssri},
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
AU - M.A. Bassuony, W.M. Abd-Elhameed, E.H. Doha & Y.H. Youssri
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 and Y.H. Youssri. (2018). 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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