In this work, we have suggested that the Chebyshev collocation method can be employed for detecting the eigenvalues of fourth-order Sturm-Liouville problems. Two examples are presented subsequently. Numerical eventuates indicate that the present method is accurate.
Bulletin of Mathematical Sciences and Applications (Volume 15)
R. Darzi and B. Agheli, "The Chebyshev Collocation Method for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems", Bulletin of Mathematical Sciences and Applications, Vol. 15, pp. 62-68, 2016