Citation
Kajani, Majid Tavassoli and Kilicman, Adem and Maleki, Mohammad
(2013)
The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval.
Mathematical Problems in Engineering, 2013.
art. no. 537810.
pp. 1-6.
ISSN 1024-123X
Abstract
We propose a pseudospectral method for solving the Thomas-Fermi equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based on the rational third-kind Chebyshev pseudospectral method that is indeed a combination of Tau and collocation methods. This method reduces the solution of this problem to the solution of a system of algebraic equations. Comparison with some numerical solutions shows that the present solution is highly accurate.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2013/537810 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Algebraic equations; Chebyshev-pseudospectral method; Collocation method; Nonlinear ordinary differential equation; Numerical solution; Pseudospectral methods; Semi-infinite intervals; Thomas-Fermi equation. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 26 Aug 2014 03:40 |
| Last Modified: | 20 Sep 2015 23:53 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/537810 |
| URI: | http://psasir.upm.edu.my/id/eprint/30198 |
| Statistic Details: | View Download Statistic |
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