Wavelet analysis method for solving linear and nonlinear singular boundary value problems
In this paper, a robust and accurate algorithm for solving both linear and nonlinear singular boundary value problems is proposed. We introduce the Chebyshev wavelets operational matrix of derivative and product operation matrix. Chebyshev wavelets expansions together with operational matrix of deri...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30141/ http://psasir.upm.edu.my/id/eprint/30141/1/Wavelet%20analysis%20method%20for%20solving%20linear.pdf |
| _version_ | 1848846593887830016 |
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| author | Nasab, A. Kazemi Kilicman, Adem Babolian, E. Atabakan, Z. Pashazadeh |
| author_facet | Nasab, A. Kazemi Kilicman, Adem Babolian, E. Atabakan, Z. Pashazadeh |
| author_sort | Nasab, A. Kazemi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a robust and accurate algorithm for solving both linear and nonlinear singular boundary value problems is proposed. We introduce the Chebyshev wavelets operational matrix of derivative and product operation matrix. Chebyshev wavelets expansions together with operational matrix of derivative are employed to solve ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic. Several examples are included to illustrate the efficiency and accuracy of the proposed method. |
| first_indexed | 2025-11-15T09:05:11Z |
| format | Article |
| id | upm-30141 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:11Z |
| publishDate | 2013 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301412015-12-07T08:12:55Z http://psasir.upm.edu.my/id/eprint/30141/ Wavelet analysis method for solving linear and nonlinear singular boundary value problems Nasab, A. Kazemi Kilicman, Adem Babolian, E. Atabakan, Z. Pashazadeh In this paper, a robust and accurate algorithm for solving both linear and nonlinear singular boundary value problems is proposed. We introduce the Chebyshev wavelets operational matrix of derivative and product operation matrix. Chebyshev wavelets expansions together with operational matrix of derivative are employed to solve ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic. Several examples are included to illustrate the efficiency and accuracy of the proposed method. Elsevier 2013-04-15 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30141/1/Wavelet%20analysis%20method%20for%20solving%20linear.pdf Nasab, A. Kazemi and Kilicman, Adem and Babolian, E. and Atabakan, Z. Pashazadeh (2013) Wavelet analysis method for solving linear and nonlinear singular boundary value problems. Applied Mathematical Modelling, 37 (8). pp. 5876-5886. ISSN 0307-904X 10.1016/j.apm.2012.12.001 |
| spellingShingle | Nasab, A. Kazemi Kilicman, Adem Babolian, E. Atabakan, Z. Pashazadeh Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title | Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title_full | Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title_fullStr | Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title_full_unstemmed | Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title_short | Wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| title_sort | wavelet analysis method for solving linear and nonlinear singular boundary value problems |
| url | http://psasir.upm.edu.my/id/eprint/30141/ http://psasir.upm.edu.my/id/eprint/30141/ http://psasir.upm.edu.my/id/eprint/30141/1/Wavelet%20analysis%20method%20for%20solving%20linear.pdf |