Citation
Kilicman, Adem and Hashim, Ishak and Kajain, Majid Tavassoli and Maleki, Mohammad
(2014)
On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval.
Journal of Computational and Applied Mathematics, 257.
pp. 79-85.
ISSN 0377-0427; ESSN: 1879-1778
Abstract
In this paper, we propose a pseudospectral method for solving the Thomas–Fermi equation which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This approach is based on the rational second 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. The slope at origin is provided with high accuracy. Comparison with some numerical solutions shows that the present solution is effective and highly accurate.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1016/j.cam.2013.07.050 |
| Publisher: | Elsevier BV |
| Keywords: | Thomas–Fermi equation; Rational second kind Chebyshev functions; Pseudospectral method; Semi-infinite interval; Singular ODE |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 21 Dec 2015 13:40 |
| Last Modified: | 21 Dec 2015 13:40 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.cam.2013.07.050 |
| URI: | http://psasir.upm.edu.my/id/eprint/34742 |
| Statistic Details: | View Download Statistic |
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