Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order
A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30272/1/30272.pdf |
| _version_ | 1796971707761688576 |
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| author | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Zohreh Pashazadeh Abbasbandy, Saeid |
| author_facet | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Zohreh Pashazadeh Abbasbandy, Saeid |
| author_sort | Nasab, Aliasghar Kazemi |
| collection | UPM |
| description | A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. This method can be considered as a nonuniform finite difference method. Some examples are given to verify and illustrate the efficiency and simplicity of the proposed method. |
| first_indexed | 2024-03-06T08:17:00Z |
| format | Article |
| id | upm.eprints-30272 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:17:00Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-302722017-10-20T04:04:24Z http://psasir.upm.edu.my/id/eprint/30272/ Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Zohreh Pashazadeh Abbasbandy, Saeid A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. This method can be considered as a nonuniform finite difference method. Some examples are given to verify and illustrate the efficiency and simplicity of the proposed method. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30272/1/30272.pdf Nasab, Aliasghar Kazemi and Kilicman, Adem and Atabakan, Zohreh Pashazadeh and Abbasbandy, Saeid (2013) Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order. Abstract and Applied Analysis, 2013. art. no. 916456. pp. 1-15. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2013/916456/ 10.1155/2013/916456 |
| spellingShingle | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Zohreh Pashazadeh Abbasbandy, Saeid Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title | Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title_full | Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title_fullStr | Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title_full_unstemmed | Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title_short | Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order |
| title_sort | chebyshev wavelet finite difference method a new approach for solving initial and boundary value problems of fractional order |
| url | http://psasir.upm.edu.my/id/eprint/30272/1/30272.pdf |
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