Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2013/916456 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Wavelets; Chebyshev wavelets; Fractional order; Initial value problems |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 20 Oct 2014 07:45 |
| Last Modified: | 20 Oct 2017 04:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/916456 |
| URI: | http://psasir.upm.edu.my/id/eprint/30272 |
| Statistic Details: | View Download Statistic |
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