The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30198/1/The%20rational%20third.pdf |
| _version_ | 1825947659620319232 |
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| author | Kajani, Majid Tavassoli Kilicman, Adem Maleki, Mohammad |
| author_facet | Kajani, Majid Tavassoli Kilicman, Adem Maleki, Mohammad |
| author_sort | Kajani, Majid Tavassoli |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T08:16:47Z |
| format | Article |
| id | upm.eprints-30198 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:16:47Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-301982015-09-20T23:53:50Z http://psasir.upm.edu.my/id/eprint/30198/ The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval Kajani, Majid Tavassoli Kilicman, Adem Maleki, Mohammad 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30198/1/The%20rational%20third.pdf 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 http://www.hindawi.com/journals/mpe/2013/537810/ 10.1155/2013/537810 English |
| spellingShingle | Kajani, Majid Tavassoli Kilicman, Adem Maleki, Mohammad The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title | The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title_full | The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title_fullStr | The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title_full_unstemmed | The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title_short | The rational third-kind chebyshev pseudospectral method for the solution of the thomas-fermi equation over infinite interval |
| title_sort | rational third kind chebyshev pseudospectral method for the solution of the thomas fermi equation over infinite interval |
| url | http://psasir.upm.edu.my/id/eprint/30198/1/The%20rational%20third.pdf |
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