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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2014
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| 在線閱讀: | http://repo.uum.edu.my/12693/1/An%20e.pdf http://repo.uum.edu.my/12693/ http://dx.doi.org/10.1063/1.4887571 |
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my.uum.repo.126932016-05-26T01:37:24Z http://repo.uum.edu.my/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 http://repo.uum.edu.my/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 |
| institution |
Universiti Utara Malaysia |
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Asia |
| country |
Malaysia |
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Universiti Utara Malaysia |
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http://repo.uum.edu.my/ |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Teh, Yuan Ying An explicit two-step rational method for the numerical solution of first order initial value problem |
| 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. |
| format |
Conference or Workshop Item |
| author |
Teh, Yuan Ying |
| author_facet |
Teh, Yuan Ying |
| author_sort |
Teh, Yuan Ying |
| title |
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_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_sort |
explicit two-step rational method for the numerical solution of first order initial value problem |
| publishDate |
2014 |
| url |
http://repo.uum.edu.my/12693/1/An%20e.pdf http://repo.uum.edu.my/12693/ http://dx.doi.org/10.1063/1.4887571 |
| _version_ |
1644280975239151616 |
| score |
13.251813 |