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 - <p style="text-align: justify;">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.</p>