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Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions | ||
| Computational Methods for Differential Equations | ||
| مقاله 21، دوره 13، شماره 4، دی 2025، صفحه 1376-1384 اصل مقاله (397.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60228.2566 | ||
| نویسندگان | ||
| Yasser Khalili* 1؛ Mohammad Dehghan2 | ||
| 1Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran. | ||
| 2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. | ||
| چکیده | ||
| The calculation of the high-indexed eigenvalues of Sturm-Liouville problems tends to be a complex job. The larger the eigenvalues are estimated, the greater the scaled errors we gain. In this paper, we study the Sturm-Liouville problems subject to Rubin boundary conditions in which the high-indexed eigenvalues are computed by means of an efficient method. In contrast to previous methods, the estimated errors of further eigenvalues are less than the primary ones. A good illustration of the accuracy of our method can be delineated by some numerical examples. | ||
| کلیدواژهها | ||
| Sturm-Liouville operator؛ Robin boundary condition؛ High-index eigenvalue؛ Quadrature method | ||
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آمار تعداد مشاهده مقاله: 174 تعداد دریافت فایل اصل مقاله: 187 |
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