TY - JOUR ID - 10501 TI - An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Biazar, Jafar AU - Dehghan, Mohammad AU - Houlari, Tahereh AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran. AD - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 2 SP - 389 EP - 400 KW - High order sturm-liouville problems KW - Differential transformation method KW - eigenvalue DO - 10.22034/cmde.2020.29144.1417 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_10501.html L1 - https://cmde.tabrizu.ac.ir/article_10501_dd5cf46155848748777d2415a5d923e1.pdf ER -