Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint
Publication type: Journal Article
Publication date: 2016-10-21
scimago Q2
wos Q3
SJR: 0.516
CiteScore: 1.4
Impact factor: 0.7
ISSN: 09655425, 15556662
Computational Mathematics
Abstract
A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint. Computations are performed for three potentials: sin((x–π)2/π), cos(4x), and a high nonisosceles triangle.
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Khapaev () M. M., Khapaeva T. M. Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint // Computational Mathematics and Mathematical Physics. 2016. Vol. 56. No. 10. pp. 1732-1736.
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Khapaev () M. M., Khapaeva T. M. Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint // Computational Mathematics and Mathematical Physics. 2016. Vol. 56. No. 10. pp. 1732-1736.
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TY - JOUR
DO - 10.1134/S0965542516100109
UR - https://doi.org/10.1134/S0965542516100109
TI - Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint
T2 - Computational Mathematics and Mathematical Physics
AU - Khapaev (), M M
AU - Khapaeva, T M
PY - 2016
DA - 2016/10/21
PB - Pleiades Publishing
SP - 1732-1736
IS - 10
VL - 56
SN - 0965-5425
SN - 1555-6662
ER -
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BibTex (up to 50 authors)
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@article{2016_Khapaev (),
author = {M M Khapaev () and T M Khapaeva},
title = {Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint},
journal = {Computational Mathematics and Mathematical Physics},
year = {2016},
volume = {56},
publisher = {Pleiades Publishing},
month = {oct},
url = {https://doi.org/10.1134/S0965542516100109},
number = {10},
pages = {1732--1736},
doi = {10.1134/S0965542516100109}
}
Cite this
MLA
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Khapaev (), M. M., and T M Khapaeva. “Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint.” Computational Mathematics and Mathematical Physics, vol. 56, no. 10, Oct. 2016, pp. 1732-1736. https://doi.org/10.1134/S0965542516100109.
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