Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708104 | Applied Mathematics Letters | 2013 | 6 Pages |
Abstract
In this paper, a simple and efficient approach is presented to compute the eigenvalues of the fourth-order Sturm–Liouville equations with variable coefficients. By transforming the governing differential equation to a system of algebraic equation, we can get the corresponding polynomial characteristic equations for kinds of boundary conditions based on the polynomial expansion and integral technique. Moreover, the lower and higher-order eigenvalues can be determined simultaneously from the multi-roots. Several examples for estimating eigenvalues are given. The convergence and effectiveness of the method are confirmed by comparing numerical results with the exact and other existing numerical results.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yong Huang, Jian Chen, Qi-Zhi Luo,