Computation of Eigenvalues of the Fourth Order Sturm-Liouville BVP by Galerkin Weighted Residual Method
Humaira Farzana, Md. Shafiqul Islam, Samir Kumar Bhowmik
Journal of Advances in Mathematics and Computer Science · pp. 73–85 · Published 15 May 2015
10.9734/BJMCS/2015/15370Abstract
The aim of this paper is to compute eigenvalues of fourth order regular Sturm-Liouville Boundary Value Problems (SLP). We propose the Galerkin weighted residual method with Bernstein polynomials as basis functions to approximate the solutions of SLP. We derive rigorous matrix formulations to compute the eigenvalues of the SLP. Special care has been given about how the polynomials satisfy the corresponding homogeneous form of Dirichlet boundary conditions. The approximate eigenvalues are compared with the exact result and also compared with the relevant studies by some authors. The results in this study agree with that of the other relevant articles.
Cited by 4
Humaira Farzana, Md. Abdul Alim · American Journal of Computational Mathematics · 2020
José M. A. Matos, Maria João Rodrigues · Mathematical and Computational Applications · 2019
Ali Ümit Keskin · Boundary Value Problems for Engineers · 2019
Mohamed El-Gamel, Waleed Adel, M. S. El-Azab · Mathematical Sciences · 2021
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