Research Article
Power Method on Boundary Value Problems
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 77 - Issue 11 |
| Published: September 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 },
year = { 2013 },
volume = { 77 },
number = { 11 },
pages = { 46-50 },
doi = { 10.5120/13442-1309 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Madhumita Gogoi Konwar
%A Arun Kumar Baruah
%T Power Method on Boundary Value Problems%T
%J International Journal of Computer Applications
%V 77
%N 11
%P 46-50
%R 10.5120/13442-1309
%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
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- 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).
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- Burden, R. L. & Faires, J. D. , 1997, Numerical Analysis, Sixth Edition, Brooks/ Cole Publishing Company, New York.
- Jain, M. K. , Iyengar, S. R. K. and Jain, R. K. , 1997, Computational methods for partial differential equations, New Age International Publishers, New Delhi.
- 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.
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