Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag
In this paper, the numerical solution of delay differential equations using a predictor-corrector scheme in modified block method is presented. In this developed algorithm, each coefficient in the predictor and corrector formula are recalculated when the step size changing. The Runge-Kutta Fehlbe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2014
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| Online Access: | http://journalarticle.ukm.my/8297/1/jqma-10-1-paper8.pdf |
| _version_ | 1825726228345126912 |
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| author | Nurul Huda Abdul Aziz, Zanariah Abdul Majid, Fudziah Ismail, |
| author_facet | Nurul Huda Abdul Aziz, Zanariah Abdul Majid, Fudziah Ismail, |
| author_sort | Nurul Huda Abdul Aziz, |
| collection | UKM |
| description | In this paper, the numerical solution of delay differential equations using a predictor-corrector
scheme in modified block method is presented. In this developed algorithm, each coefficient in the
predictor and corrector formula are recalculated when the step size changing. The Runge-Kutta
Fehlberg step size strategy has been applied in the algorithm in order to achieve better results
in terms of accuracy and total steps. Numerical results are given to illustrate the performance of
this modified block method for solving delay differential equations with constant lag. |
| first_indexed | 2024-03-06T04:07:42Z |
| format | Article |
| id | ukm.eprints-8297 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:07:42Z |
| publishDate | 2014 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-82972016-12-14T06:46:49Z http://journalarticle.ukm.my/8297/ Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag Nurul Huda Abdul Aziz, Zanariah Abdul Majid, Fudziah Ismail, In this paper, the numerical solution of delay differential equations using a predictor-corrector scheme in modified block method is presented. In this developed algorithm, each coefficient in the predictor and corrector formula are recalculated when the step size changing. The Runge-Kutta Fehlberg step size strategy has been applied in the algorithm in order to achieve better results in terms of accuracy and total steps. Numerical results are given to illustrate the performance of this modified block method for solving delay differential equations with constant lag. Penerbit Universiti Kebangsaan Malaysia 2014-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8297/1/jqma-10-1-paper8.pdf Nurul Huda Abdul Aziz, and Zanariah Abdul Majid, and Fudziah Ismail, (2014) Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag. Journal of Quality Measurement and Analysis, 10 (1). pp. 87-97. ISSN 1823-5670 http://www.ukm.my/jqma/index.html |
| spellingShingle | Nurul Huda Abdul Aziz, Zanariah Abdul Majid, Fudziah Ismail, Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title | Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title_full | Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title_fullStr | Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title_full_unstemmed | Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title_short | Predictor-corrector scheme in modified block method for solving delay differential equations with constant lag |
| title_sort | predictor corrector scheme in modified block method for solving delay differential equations with constant lag |
| url | http://journalarticle.ukm.my/8297/1/jqma-10-1-paper8.pdf |
| work_keys_str_mv | AT nurulhudaabdulaziz predictorcorrectorschemeinmodifiedblockmethodforsolvingdelaydifferentialequationswithconstantlag AT zanariahabdulmajid predictorcorrectorschemeinmodifiedblockmethodforsolvingdelaydifferentialequationswithconstantlag AT fudziahismail predictorcorrectorschemeinmodifiedblockmethodforsolvingdelaydifferentialequationswithconstantlag |