In this paper, we implement a Chebyshev collocation method to approximate the eigenvalues of nonsingular sixth-order Sturm-Liouville problem. This method transforms the Sturm-Liouville problem to a sparse singular linear system which is solved by the path following technique. Numerical results demonstrate the accuracy and efficiency of the present algorithm.
- A Chebyshev collocation method
- Path following method
- Sixth-order Sturm-Liouville problem
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics