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Power Method on Boundary Value Problems

by Madhumita Gogoi Konwar, Arun Kumar Baruah
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 77 - Number 11
Year of Publication: 2013
Authors: Madhumita Gogoi Konwar, Arun Kumar Baruah
10.5120/13442-1309

Madhumita Gogoi Konwar, Arun Kumar Baruah . Power Method on Boundary Value Problems. International Journal of Computer Applications. 77, 11 ( September 2013), 46-50. DOI=10.5120/13442-1309

@article{ 10.5120/13442-1309,
author = { Madhumita Gogoi Konwar, Arun Kumar Baruah },
title = { Power Method on Boundary Value Problems },
journal = { International Journal of Computer Applications },
issue_date = { September 2013 },
volume = { 77 },
number = { 11 },
month = { September },
year = { 2013 },
issn = { 0975-8887 },
pages = { 46-50 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume77/number11/13442-1309/ },
doi = { 10.5120/13442-1309 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:50:03.605041+05:30
%A Madhumita Gogoi Konwar
%A Arun Kumar Baruah
%T Power Method on Boundary Value Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 77
%N 11
%P 46-50
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Matrix equations obtained as a result of separation of parameters of a two-parameter eigenvalue problem in the form of second order ordinary differential equation satisfying certain boundary conditions are considered in the paper. Power method is applied to obtain the greatest and the smallest eigenvalues and their corresponding eigenvectors of the problem. A numerical example is given in support of the method.

References
  1. Arscott, F. M. , 1968, Two-parameter eigenvalue problems in the differential equations, Proc. London Math. Soc. (3) 14, pp. (459 - 470).
  2. Baruah, A. K. , 1987, Estimation of eigenelements in a two-parameter eigenvalue problem, Ph. D. Thesis, Dibrugarh University, Assam.
  3. Fox, L. Hayes, L & Mayers, D. F. , 1972, The double eigenvalue problem : Topics in numerical analysis, Proc. Roy. Irish Acad. Con. , Univ. College, Dublin, Academic Press, pp. (93-112).
  4. Gerald, Curtis F. & Wheatley Patrick O. , 1994, Applied numerical analysis, Addison-Wesley Longman Publishing Company, California.
  5. Burden, R. L. & Faires, J. D. , 1997, Numerical Analysis, Sixth Edition, Brooks/ Cole Publishing Company, New York.
  6. Jain, M. K. , Iyengar, S. R. K. and Jain, R. K. , 1997, Computational methods for partial differential equations, New Age International Publishers, New Delhi.
  7. Jain, M. K. , Iyengar, S. R. K. and Jain, R. K. , 2007, Numerical method for scientific and engineering computation, 5th Edition, New Age International Publishers, New Delhi.
Index Terms

Computer Science
Information Sciences

Keywords

Matrix eigenvalue eigenvector two-parameter problem linear ordinary differential equation boundary value problem.

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