An explicit two-step rational method for the numerical solution of first order initial value problem
An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational m...
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| Format: | Conference or Workshop Item |
| Language: | English |
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2014
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| Online Access: | https://repo.uum.edu.my/id/eprint/12693/1/An%20e.pdf |
| _version_ | 1825803049561489408 |
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| author | Teh, Yuan Ying |
| author_facet | Teh, Yuan Ying |
| author_sort | Teh, Yuan Ying |
| collection | UUM |
| description | An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems. |
| first_indexed | 2024-07-04T05:50:33Z |
| format | Conference or Workshop Item |
| id | uum-12693 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:50:33Z |
| publishDate | 2014 |
| record_format | eprints |
| spelling | uum-126932016-05-26T01:37:24Z https://repo.uum.edu.my/id/eprint/12693/ An explicit two-step rational method for the numerical solution of first order initial value problem Teh, Yuan Ying QA Mathematics An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems. 2014 Conference or Workshop Item PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/12693/1/An%20e.pdf Teh, Yuan Ying (2014) An explicit two-step rational method for the numerical solution of first order initial value problem. In: 21st National Symposium on Mathematical Sciences (SMSK21), 6–8 November 2013, Penang, Malaysia. http://dx.doi.org/10.1063/1.4887571 doi:10.1063/1.4887571 doi:10.1063/1.4887571 |
| spellingShingle | QA Mathematics Teh, Yuan Ying An explicit two-step rational method for the numerical solution of first order initial value problem |
| title | An explicit two-step rational method for the numerical solution of first order initial value problem |
| title_full | An explicit two-step rational method for the numerical solution of first order initial value problem |
| title_fullStr | An explicit two-step rational method for the numerical solution of first order initial value problem |
| title_full_unstemmed | An explicit two-step rational method for the numerical solution of first order initial value problem |
| title_short | An explicit two-step rational method for the numerical solution of first order initial value problem |
| title_sort | explicit two step rational method for the numerical solution of first order initial value problem |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/12693/1/An%20e.pdf |
| work_keys_str_mv | AT tehyuanying anexplicittwosteprationalmethodforthenumericalsolutionoffirstorderinitialvalueproblem AT tehyuanying explicittwosteprationalmethodforthenumericalsolutionoffirstorderinitialvalueproblem |