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An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 14، دوره 8، شماره 2، تیر 2020، صفحه 389-400 اصل مقاله (452.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29144.1417 | ||
| نویسندگان | ||
| Jafar Biazar* 1؛ Mohammad Dehghan2؛ Tahereh Houlari1 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran. | ||
| 2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| High order sturm-liouville problems؛ Differential transformation method؛ Eigenvalue | ||
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