An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method
Joint Authors
Pashazadeh Atabakan, Z.
Kazemi Nasab, A.
Kiliçman, Adem
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kazemi Nasab, A.& Pashazadeh Atabakan, Z.& Kiliçman, Adem. 2013. An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010868
Modern Language Association (MLA)
Kazemi Nasab, A.…[et al.]. An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1010868
American Medical Association (AMA)
Kazemi Nasab, A.& Pashazadeh Atabakan, Z.& Kiliçman, Adem. An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010868