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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
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Khalili, Yasser, Dehghan, Mohammad. (1404). Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions. سامانه مدیریت نشریات علمی, 13(4), 1376-1384. doi: 10.22034/cmde.2024.60228.2566
Yasser Khalili; Mohammad Dehghan. "Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions". سامانه مدیریت نشریات علمی, 13, 4, 1404, 1376-1384. doi: 10.22034/cmde.2024.60228.2566
Khalili, Yasser, Dehghan, Mohammad. (1404). 'Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions', سامانه مدیریت نشریات علمی, 13(4), pp. 1376-1384. doi: 10.22034/cmde.2024.60228.2566
Khalili, Yasser, Dehghan, Mohammad. Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions. سامانه مدیریت نشریات علمی, 1404; 13(4): 1376-1384. doi: 10.22034/cmde.2024.60228.2566

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
مراجع
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