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An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method

We introduce Chebyshev wavelet analysis method to solve the nonlinear Troesch and Bratu problems. Chebyshev wavelets expansions together with operational matrix of derivative are employed to reduce the computation of nonlinear problems to a system of algebraic equations. Several examples are given t...

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Main Authors: Nasab, A. Kazemi, Atabakan, Z. Pashazadeh, Kilicman, Adem
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30132/1/An%20efficient%20approach%20for%20solving%20nonlinear%20troesch.pdf
http://psasir.upm.edu.my/id/eprint/30132/
http://www.hindawi.com/journals/mpe/2013/825817/ref/
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spelling my.upm.eprints.301322015-12-08T03:31:28Z http://psasir.upm.edu.my/id/eprint/30132/ An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method Nasab, A. Kazemi Atabakan, Z. Pashazadeh Kilicman, Adem We introduce Chebyshev wavelet analysis method to solve the nonlinear Troesch and Bratu problems. Chebyshev wavelets expansions together with operational matrix of derivative are employed to reduce the computation of nonlinear problems to a system of algebraic equations. Several examples are given to validate the efficiency and accuracy of the proposed technique. We compare the results with those ones reported in the literature in order to demonstrate that the method converges rapidly and approximates the exact solution very accurately by using only a small number of Chebyshev wavelet basis functions. Convergence analysis is also included. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30132/1/An%20efficient%20approach%20for%20solving%20nonlinear%20troesch.pdf Nasab, A. Kazemi and Atabakan, Z. Pashazadeh and Kilicman, Adem (2013) An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method. Mathematical Problems in Engineering, 2013. art. no. 825817. pp. 1-10. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2013/825817/ref/ 10.1155/2013/825817 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description We introduce Chebyshev wavelet analysis method to solve the nonlinear Troesch and Bratu problems. Chebyshev wavelets expansions together with operational matrix of derivative are employed to reduce the computation of nonlinear problems to a system of algebraic equations. Several examples are given to validate the efficiency and accuracy of the proposed technique. We compare the results with those ones reported in the literature in order to demonstrate that the method converges rapidly and approximates the exact solution very accurately by using only a small number of Chebyshev wavelet basis functions. Convergence analysis is also included.
format Article
author Nasab, A. Kazemi
Atabakan, Z. Pashazadeh
Kilicman, Adem
spellingShingle Nasab, A. Kazemi
Atabakan, Z. Pashazadeh
Kilicman, Adem
An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
author_facet Nasab, A. Kazemi
Atabakan, Z. Pashazadeh
Kilicman, Adem
author_sort Nasab, A. Kazemi
title An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
title_short An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
title_full An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
title_fullStr An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
title_full_unstemmed An efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
title_sort efficient approach for solving nonlinear troesch's and bratu's problems by wavelet analysis method
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30132/1/An%20efficient%20approach%20for%20solving%20nonlinear%20troesch.pdf
http://psasir.upm.edu.my/id/eprint/30132/
http://www.hindawi.com/journals/mpe/2013/825817/ref/
_version_ 1643829967153266688
score 13.211869

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