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On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems

by Surashmi Bhattacharyya, Arun Kumar Baruah
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 86 - Number 3
Year of Publication: 2014
Authors: Surashmi Bhattacharyya, Arun Kumar Baruah
10.5120/14969-3149

Surashmi Bhattacharyya, Arun Kumar Baruah . On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems. International Journal of Computer Applications. 86, 3 ( January 2014), 38-42. DOI=10.5120/14969-3149

@article{ 10.5120/14969-3149,
author = { Surashmi Bhattacharyya, Arun Kumar Baruah },
title = { On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems },
journal = { International Journal of Computer Applications },
issue_date = { January 2014 },
volume = { 86 },
number = { 3 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 38-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume86/number3/14969-3149/ },
doi = { 10.5120/14969-3149 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:03:17.992889+05:30
%A Surashmi Bhattacharyya
%A Arun Kumar Baruah
%T On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 86
%N 3
%P 38-42
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with the computation of the eigenvalues of a three-parameter Sturm-Liouville problem in the form of ordinary differential equation using Rayleigh-Ritz Method, a method which is based on the principle of variational methods. This method has been effective in computing the eigenvalues of self-adjoint problems. The resulting equations obtained in applying Rayleigh-Ritz method on the problem are solved to find the rough estimates of the eigenvalues of the problem. Rough estimates are used as starting approximations in the corresponding shooting method to obtain their actual values.

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Index Terms

Computer Science
Information Sciences

Keywords

Eigenvalue eigenfunction multiparameter variational method Rayleigh-Ritz method.

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