University of Tabriz Computational Methods for Differential Equations 2345-3982 8 2 2020 04 01 An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems 389 400 10501 10.22034/cmde.2020.29144.1417 EN Jafar Biazar Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran. Mohammad Dehghan Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. Tahereh Houlari Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran. Journal Article 2018 09 15 determination of eigenvalues and eigenfunctions of a High-order Sturm-Liouville problem (HSLP) is considered. To this end, the Differential Transformation Method (DTM) is applied which is an efficient technique for solving differential equations. The results of the proposed approach are compared with those of some well-known methods reported in the literature. Four illustrative real life examples of mechanical engineering are provided to show the ability and the cost-effectiveness of this numerical approach. https://cmde.tabrizu.ac.ir/article_10501_dd5cf46155848748777d2415a5d923e1.pdf