@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} }