In this paper, an efficient technique based on the Chebyshev spectral collocation method for computing the eigenvalues of fourth-order Sturm-Liouville boundary value problems is proposed. The excellent performance of this scheme is illustrated through four examples. Numerical results and comparison with other methods are presented. © 2012.
Saleh Taher, A. H., Malek, A., & Momeni-Masuleh, S. H. (2013). Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems. Applied Mathematical Modelling, 37(7), 4634–4642. https://doi.org/10.1016/j.apm.2012.09.062