On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval
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...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Elsevier BV
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34742/ |
| _version_ | 1848847858976948224 |
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| author | Kilicman, Adem Hashim, Ishak Kajain, Majid Tavassoli Maleki, Mohammad |
| author_facet | Kilicman, Adem Hashim, Ishak Kajain, Majid Tavassoli Maleki, Mohammad |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:25:17Z |
| format | Article |
| id | upm-34742 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T09:25:17Z |
| publishDate | 2014 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-347422015-12-21T13:40:30Z http://psasir.upm.edu.my/id/eprint/34742/ On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval Kilicman, Adem Hashim, Ishak Kajain, Majid Tavassoli Maleki, Mohammad 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. Elsevier BV 2014-02 Article PeerReviewed 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 http://www.sciencedirect.com/science/article/pii/S0377042713003956 10.1016/j.cam.2013.07.050 |
| spellingShingle | Kilicman, Adem Hashim, Ishak Kajain, Majid Tavassoli Maleki, Mohammad On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title | On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title_full | On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title_fullStr | On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title_full_unstemmed | On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title_short | On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval |
| title_sort | on the rational second kind chebyshev pseudospectral method for the solution of the thomas–fermi equation over an infinite interval |
| url | http://psasir.upm.edu.my/id/eprint/34742/ http://psasir.upm.edu.my/id/eprint/34742/ http://psasir.upm.edu.my/id/eprint/34742/ |