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Matematicheskie Zametki, 2015, Volume 97, Issue 4, Pages 604–608
DOI: https://doi.org/10.4213/mzm10642 (Mi mzm10642) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Computation of Eigenfunctions and Eigenvalues in the Sturm–Liouville Problem

M. M. Khapaev, T. M. Khapaeva

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10642
Abstract: We present the variational method for finding the eigenfunctions and eigenvalues in the Sturm–Liouville problem with Dirichlet boundary conditions; the method is based on the proposed functional. As a test example, we consider the potential $\cos(4x)$. Also computations for two functions $\sin((x-\pi)^2/\pi)$ and a high nonisosceles triangle are given.
Keywords: variational method, functional, Sturm–Liouville problem, eigenfunction, eigenvalue, Dirichlet boundary condition, the function $\sin((x-\pi)^2/\pi)$, the function $\cos(4x)$, nonisosceles triangle, random search method, Wolfram Research, “Nminimize” procedure, algorithm.
Received: 10.09.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 4, Pages 616–620
DOI: https://doi.org/10.1134/S0001434615030323
Bibliographic databases:
Document Type: Article
UDC: 517.927.2
Language: Russian
Citation: M. M. Khapaev, T. M. Khapaeva, “On the Computation of Eigenfunctions and Eigenvalues in the Sturm–Liouville Problem”, Mat. Zametki, 97:4 (2015), 604–608; Math. Notes, 97:4 (2015), 616–620
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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