A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

作者：Bassuony M A; Abd Elhameed W M; Doha E H; Youssri Y H^*

来源：East Asian Journal on Applied Mathematics, 2018, 8(2): 280-295.

DOI：10.4208/eajam.060717.140118a

• Euler-Bernoulli beam equations
• Galerkin-method
• Legendre polynomials
• Laguerre polynomials

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.

• 出版日期2018-5