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

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), co...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics Vol. 56; no. 10; pp. 1732 - 1736
Main Authors: Khapaev, M. M., Khapaeva, T. M.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.10.2016
Springer Nature B.V
Subjects:
Accuracy
Algorithms
Boundary conditions
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Dirichlet problem
Eigenfunctions
Eigenvalues
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Physics
Studies
Triangles
Variational methods
variational computational method
Sturm–Liouville problem
method for computing eigenvalues and eigenfunctions
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary: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(4 x ), and a high nonisosceles triangle.
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542516100109