Using the Accelerated Convergence Method for Solving the Singular Sturm–Liouville Problem

S. V. Nesterov; Нестеров С. В.

doi:10.31857/S0032823523050119

Using the Accelerated Convergence Method for Solving the Singular Sturm–Liouville Problem

作者: Nesterov S.V.¹
隶属关系:
1. Ishlinsky Institute for Problems in Mechanics of the RAS
期: 卷 87, 编号 5 (2023)
页面: 757-764
栏目: 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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详细

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.

关键词

accelerated convergence method, Sturm–Liouville problem, singularity

作者简介

S. Nesterov

Ishlinsky Institute for Problems in Mechanics of the RAS

编辑信件的主要联系方式.
Email: bayd@ipmnet.ru
Russia, Moscow

参考

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.