Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.060717.140118a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 280–295
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Euler-Bernoulli beam equations Galerkin-method Legendre polynomials Laguerre polynomials.
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