Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1016/j.apm.2012.12.001 |
| Publisher: | Elsevier |
| Keywords: | Chebyshev wavelet; Ordinary differential equations; Singular boundary value problems; Operational matrix; Product operation matrix; Shifted Chebyshev polynomials. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 02 Jul 2014 04:09 |
| Last Modified: | 07 Dec 2015 08:12 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.apm.2012.12.001 |
| URI: | http://psasir.upm.edu.my/id/eprint/30141 |
| Statistic Details: | View Download Statistic |
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