One-step exponential-rational methods for the numerical solution of first order initial value problems
In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf |
| _version_ | 1848811101950574592 |
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| author | Teh, Yuan Ying Nazeeruddin Yaacob, |
| author_facet | Teh, Yuan Ying Nazeeruddin Yaacob, |
| author_sort | Teh, Yuan Ying |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to be consistent with the differential equation and L-stable. Numerical experiments showed that the third order and fourth order ERMs generates more accurate numerical results compared with the existing rational methods in solving first order initial value problems. |
| first_indexed | 2025-11-14T23:41:03Z |
| format | Article |
| id | oai:generic.eprints.org:6289 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:41:03Z |
| publishDate | 2013 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:62892016-12-14T06:40:45Z http://journalarticle.ukm.my/6289/ One-step exponential-rational methods for the numerical solution of first order initial value problems Teh, Yuan Ying Nazeeruddin Yaacob, In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to be consistent with the differential equation and L-stable. Numerical experiments showed that the third order and fourth order ERMs generates more accurate numerical results compared with the existing rational methods in solving first order initial value problems. Universiti Kebangsaan Malaysia 2013-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf Teh, Yuan Ying and Nazeeruddin Yaacob, (2013) One-step exponential-rational methods for the numerical solution of first order initial value problems. Sains Malaysiana, 42 (6). pp. 845-853. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Teh, Yuan Ying Nazeeruddin Yaacob, One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title | One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title_full | One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title_fullStr | One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title_full_unstemmed | One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title_short | One-step exponential-rational methods for the numerical solution of first order initial value problems |
| title_sort | one-step exponential-rational methods for the numerical solution of first order initial value problems |
| url | http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/ http://journalarticle.ukm.my/6289/1/18_Teh_Yuan_Ying.pdf |