Solving delay differential equations of pantograph type using predictor-corrector method
In this paper, the fourth order predictor-corrector method in the form of linear multistep method will be presented to solve delay differential equations of pantograph type. This special type of delay differential equations always has the delay term fall after the initial value but before the desire...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57349/1/Solving%20delay%20differential%20equations%20of%20pantograph%20type%20using%20predictor-corrector%20method.pdf |
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| author | Hoo, Yann Seong Abdul Majid, Zanariah |
| author_facet | Hoo, Yann Seong Abdul Majid, Zanariah |
| author_sort | Hoo, Yann Seong |
| collection | UPM |
| description | In this paper, the fourth order predictor-corrector method in the form of linear multistep method will be presented to solve delay differential equations of pantograph type. This special type of delay differential equations always has the delay term fall after the initial value but before the desire approximation being calculated. The new approach will be discussed on how to calculate the delay term which is needed in the approximation. The implementation is based on the predictor-corrector formulas in the PECE mode and the proposed method will approximate the solutions using constant step size. Numerical results are presented to show the efficiency of the proposed method. |
| first_indexed | 2024-03-06T09:29:07Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57349 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:07Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-573492017-09-26T04:10:03Z http://psasir.upm.edu.my/id/eprint/57349/ Solving delay differential equations of pantograph type using predictor-corrector method Hoo, Yann Seong Abdul Majid, Zanariah In this paper, the fourth order predictor-corrector method in the form of linear multistep method will be presented to solve delay differential equations of pantograph type. This special type of delay differential equations always has the delay term fall after the initial value but before the desire approximation being calculated. The new approach will be discussed on how to calculate the delay term which is needed in the approximation. The implementation is based on the predictor-corrector formulas in the PECE mode and the proposed method will approximate the solutions using constant step size. Numerical results are presented to show the efficiency of the proposed method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57349/1/Solving%20delay%20differential%20equations%20of%20pantograph%20type%20using%20predictor-corrector%20method.pdf Hoo, Yann Seong and Abdul Majid, Zanariah (2014) Solving delay differential equations of pantograph type using predictor-corrector method. In: International Conference on Mathematics, Engineering and Industrial Applications 2014 (ICoMEIA 2014), 28-30 May 2014, Penang, Malaysia. . 10.1063/1.4915692 |
| spellingShingle | Hoo, Yann Seong Abdul Majid, Zanariah Solving delay differential equations of pantograph type using predictor-corrector method |
| title | Solving delay differential equations of pantograph type using predictor-corrector method |
| title_full | Solving delay differential equations of pantograph type using predictor-corrector method |
| title_fullStr | Solving delay differential equations of pantograph type using predictor-corrector method |
| title_full_unstemmed | Solving delay differential equations of pantograph type using predictor-corrector method |
| title_short | Solving delay differential equations of pantograph type using predictor-corrector method |
| title_sort | solving delay differential equations of pantograph type using predictor corrector method |
| url | http://psasir.upm.edu.my/id/eprint/57349/1/Solving%20delay%20differential%20equations%20of%20pantograph%20type%20using%20predictor-corrector%20method.pdf |
| work_keys_str_mv | AT hooyannseong solvingdelaydifferentialequationsofpantographtypeusingpredictorcorrectormethod AT abdulmajidzanariah solvingdelaydifferentialequationsofpantographtypeusingpredictorcorrectormethod |