A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics
In this paper, we suggest a numerical method based upon hybrid of Chebyshev wavelets and finite difference methods for solving well-known nonlinear initial-value problems of Lane–Emden type. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the compu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43543/ http://psasir.upm.edu.my/id/eprint/43543/1/A%20numerical%20approach%20for%20solving%20singular%20nonlinear%20Lane.pdf |
| _version_ | 1848850256763027456 |
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| author | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Z. Pashazadeh Leong, Wah June |
| author_facet | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Z. Pashazadeh Leong, Wah June |
| author_sort | Nasab, Aliasghar Kazemi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we suggest a numerical method based upon hybrid of Chebyshev wavelets and finite difference methods for solving well-known nonlinear initial-value problems of Lane–Emden type. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of nonlinear algebraic equations. Making a comparison among the obtained results using the present method with those ones reported in literature by some other well-known methods confirms the accuracy and computational efficiency of the present technique. |
| first_indexed | 2025-11-15T10:03:24Z |
| format | Article |
| id | upm-43543 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:03:24Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-435432016-06-29T03:24:31Z http://psasir.upm.edu.my/id/eprint/43543/ A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Z. Pashazadeh Leong, Wah June In this paper, we suggest a numerical method based upon hybrid of Chebyshev wavelets and finite difference methods for solving well-known nonlinear initial-value problems of Lane–Emden type. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of nonlinear algebraic equations. Making a comparison among the obtained results using the present method with those ones reported in literature by some other well-known methods confirms the accuracy and computational efficiency of the present technique. Elsevier 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43543/1/A%20numerical%20approach%20for%20solving%20singular%20nonlinear%20Lane.pdf Nasab, Aliasghar Kazemi and Kilicman, Adem and Atabakan, Z. Pashazadeh and Leong, Wah June (2015) A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics. New Astronomy, 34. pp. 178-186. ISSN 1384-1076 10.1016/j.newast.2014.06.008 |
| spellingShingle | Nasab, Aliasghar Kazemi Kilicman, Adem Atabakan, Z. Pashazadeh Leong, Wah June A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title | A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title_full | A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title_fullStr | A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title_full_unstemmed | A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title_short | A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics |
| title_sort | numerical approach for solving singular nonlinear laneemden type equations arising in astrophysics |
| url | http://psasir.upm.edu.my/id/eprint/43543/ http://psasir.upm.edu.my/id/eprint/43543/ http://psasir.upm.edu.my/id/eprint/43543/1/A%20numerical%20approach%20for%20solving%20singular%20nonlinear%20Lane.pdf |