New nonlinear four-step method for y"=f(t,y)
In this paper, a study is made on the possibility of developing a nonlinear four-step method based on contraharmonic mean. The study is done since the four-step methods always give higher order than popular methods like Numerov and classical Runge-Kutta methods. A detailed study of consistency, stab...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Science
2003
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| Online Access: | http://eprints.utm.my/8810/1/NazeeruddinYaacob2003_NewNonlinearFour-StepMethod.pdf |
| _version_ | 1825910256606117888 |
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| author | Yaacob, Nazeeruddin Phang, Chang |
| author_facet | Yaacob, Nazeeruddin Phang, Chang |
| author_sort | Yaacob, Nazeeruddin |
| collection | ePrints |
| description | In this paper, a study is made on the possibility of developing a nonlinear four-step method based on contraharmonic mean. The study is done since the four-step methods always give higher order than popular methods like Numerov and classical Runge-Kutta methods. A detailed study of consistency, stability, convergence and interval of periodicity has been done to convince ourselves of using this new method. The numerical results shows that the method is more accurate than the existing one. |
| first_indexed | 2024-03-05T18:14:23Z |
| format | Article |
| id | utm.eprints-8810 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:14:23Z |
| publishDate | 2003 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | dspace |
| spelling | utm.eprints-88102010-06-11T04:40:38Z http://eprints.utm.my/8810/ New nonlinear four-step method for y"=f(t,y) Yaacob, Nazeeruddin Phang, Chang QA Mathematics In this paper, a study is made on the possibility of developing a nonlinear four-step method based on contraharmonic mean. The study is done since the four-step methods always give higher order than popular methods like Numerov and classical Runge-Kutta methods. A detailed study of consistency, stability, convergence and interval of periodicity has been done to convince ourselves of using this new method. The numerical results shows that the method is more accurate than the existing one. Department of Mathematics, Faculty of Science 2003-06 Article PeerReviewed application/pdf en http://eprints.utm.my/8810/1/NazeeruddinYaacob2003_NewNonlinearFour-StepMethod.pdf Yaacob, Nazeeruddin and Phang, Chang (2003) New nonlinear four-step method for y"=f(t,y). Matematika, 19 (1). pp. 47-56. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/77/31 |
| spellingShingle | QA Mathematics Yaacob, Nazeeruddin Phang, Chang New nonlinear four-step method for y"=f(t,y) |
| title | New nonlinear four-step method for y"=f(t,y) |
| title_full | New nonlinear four-step method for y"=f(t,y) |
| title_fullStr | New nonlinear four-step method for y"=f(t,y) |
| title_full_unstemmed | New nonlinear four-step method for y"=f(t,y) |
| title_short | New nonlinear four-step method for y"=f(t,y) |
| title_sort | new nonlinear four step method for y f t y |
| topic | QA Mathematics |
| url | http://eprints.utm.my/8810/1/NazeeruddinYaacob2003_NewNonlinearFour-StepMethod.pdf |
| work_keys_str_mv | AT yaacobnazeeruddin newnonlinearfourstepmethodforyfty AT phangchang newnonlinearfourstepmethodforyfty |