An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-8-2_014
تاریخ نمایه سازی: 15 بهمن 1401
Abstract:
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.
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Authors
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Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box ۴۱۳۳۵-۱۹۱۴, Guilan, Rasht, Iran.
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Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
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Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box ۴۱۳۳۵-۱۹۱۴, Guilan, Rasht, Iran.