Pleiades Publishing
Mathematical Notes
,  volume 97 ,  issue 3-4 ,  pages 616-620

On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem

Publication type: Journal Article
Publication date: 2015-03-01
Pleiades Publishing
scimago Q2
wos Q3
SJR: 0.508
CiteScore: 1.0
Impact factor: 0.6
ISSN: 00014346, 15738876, 17577489, 2051204X
General Mathematics
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 - π)2/π) and a high nonisosceles triangle are given.
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Khapaev () M. M., Khapaeva T. M. On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem // Mathematical Notes. 2015. Vol. 97. No. 3-4. pp. 616-620.
GOST all authors (up to 50) Copy
Khapaev () M. M., Khapaeva T. M. On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem // Mathematical Notes. 2015. Vol. 97. No. 3-4. pp. 616-620.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1134/S0001434615030323
UR - https://doi.org/10.1134/S0001434615030323
TI - On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem
T2 - Mathematical Notes
AU - Khapaev (), M M
AU - Khapaeva, T M
PY - 2015
DA - 2015/03/01
PB - Pleiades Publishing
SP - 616-620
IS - 3-4
VL - 97
SN - 0001-4346
SN - 1573-8876
SN - 1757-7489
SN - 2051-204X
ER -
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BibTex (up to 50 authors) Copy
@article{2015_Khapaev (),
author = {M M Khapaev () and T M Khapaeva},
title = {On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem},
journal = {Mathematical Notes},
year = {2015},
volume = {97},
publisher = {Pleiades Publishing},
month = {mar},
url = {https://doi.org/10.1134/S0001434615030323},
number = {3-4},
pages = {616--620},
doi = {10.1134/S0001434615030323}
}
MLA
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MLA Copy
Khapaev (), M. M., and T M Khapaeva. “On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem.” Mathematical Notes, vol. 97, no. 3-4, Mar. 2015, pp. 616-620. https://doi.org/10.1134/S0001434615030323.