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Using the Accelerated Convergence Method for Solving the Singular Sturm–Liouville Problem
- Authors: Nesterov S.V.1
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the RAS
- Issue: Vol 87, No 5 (2023)
- Pages: 757-764
- Section: Articles
- URL: https://kazanmedjournal.ru/0032-8235/article/view/675095
- DOI: https://doi.org/10.31857/S0032823523050119
- EDN: https://elibrary.ru/VGZAYO
- ID: 675095
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Abstract
This article is dedicated to the memory of L.D. Akulenko, with whom the author of the article worked for more than 40 years. Within the framework of the accelerated convergence method developed jointly, a number of classes of problems related to the Sturm–Liouville problems were solved. Based on the research results, several dozen articles and a generalizing monograph [1] were published. In this paper, we describe the adaptation of the method to solving singular Sturm–Liouville problems.
About the authors
S. V. Nesterov
Ishlinsky Institute for Problems in Mechanics of the RAS
Author for correspondence.
Email: bayd@ipmnet.ru
Russia, Moscow
References
- Akulenko L.D., Nesterov S.V. High-Precision Methods in Eigenvalue Problems and Their Applications. Boca Raton: Chapman&Hall/CRC Press, 2005. 255 p.
- Ratneswar S.G., Ranjit Gh. Method of perturbation applied to the vibration problem of a circular membrane of varying density // JASA, 1964, vol. 36, no. 6, pp. 1118–1120.
- Sretensky L. The Theory of Wave Motion of Fluid. Moscow: Nauka, 1977. 815 p. (in Russian)
- Nesterov S.V., Baidulov V.G. Using the accelerated convergence method in singular Sturm–Liouville problems // Sb. Mater. 13th Int. Conf. – School of Young Scientists “Waves and Vortices in Complex Media”, Moscow, Nov. 30 – Dec. 02, 2022, pp. 194–195.
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