Solving second order delay differential equations using direct two-point block method
This paper will consider the implementation of direct two-point fourth and fifth order multistep block method in the form of Adams–Moulton method to solve second order delay differential equations (DDEs) directly without transforming the equations into system of first order DDEs. The proposed method...
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| Format: | Article |
| Language: | English |
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Ain Shams University
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51853/1/Solving%20second%20order%20delay%20differential%20equations%20using%20direct%20two-point%20block%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 | This paper will consider the implementation of direct two-point fourth and fifth order multistep block method in the form of Adams–Moulton method to solve second order delay differential equations (DDEs) directly without transforming the equations into system of first order DDEs. The proposed methods will compute the numerical solutions at two points simultaneously which are implemented in predictor–corrector (PECE) mode. The formulation and stability analysis of the block method are discussed. The block method will approximate the computing solutions using constant step size. Numerical results are presented to show that the proposed methods are suitable for solving second order DDEs compared with the existing methods. |
| first_indexed | 2024-03-06T09:14:10Z |
| format | Article |
| id | upm.eprints-51853 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:10Z |
| publishDate | 2017 |
| publisher | Ain Shams University |
| record_format | dspace |
| spelling | upm.eprints-518532017-05-02T08:05:09Z http://psasir.upm.edu.my/id/eprint/51853/ Solving second order delay differential equations using direct two-point block method Hoo, Yann Seong Abdul Majid, Zanariah This paper will consider the implementation of direct two-point fourth and fifth order multistep block method in the form of Adams–Moulton method to solve second order delay differential equations (DDEs) directly without transforming the equations into system of first order DDEs. The proposed methods will compute the numerical solutions at two points simultaneously which are implemented in predictor–corrector (PECE) mode. The formulation and stability analysis of the block method are discussed. The block method will approximate the computing solutions using constant step size. Numerical results are presented to show that the proposed methods are suitable for solving second order DDEs compared with the existing methods. Ain Shams University 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51853/1/Solving%20second%20order%20delay%20differential%20equations%20using%20direct%20two-point%20block%20method.pdf Hoo, Yann Seong and Abdul Majid, Zanariah (2017) Solving second order delay differential equations using direct two-point block method. Ain Shams Engineering Journal, 8 (1). pp. 59-66. ISSN 2090-4479 http://www.sciencedirect.com/science/article/pii/S2090447915001409 10.1016/j.asej.2015.07.014 |
| spellingShingle | Hoo, Yann Seong Abdul Majid, Zanariah Solving second order delay differential equations using direct two-point block method |
| title | Solving second order delay differential equations using direct two-point block method |
| title_full | Solving second order delay differential equations using direct two-point block method |
| title_fullStr | Solving second order delay differential equations using direct two-point block method |
| title_full_unstemmed | Solving second order delay differential equations using direct two-point block method |
| title_short | Solving second order delay differential equations using direct two-point block method |
| title_sort | solving second order delay differential equations using direct two point block method |
| url | http://psasir.upm.edu.my/id/eprint/51853/1/Solving%20second%20order%20delay%20differential%20equations%20using%20direct%20two-point%20block%20method.pdf |
| work_keys_str_mv | AT hooyannseong solvingsecondorderdelaydifferentialequationsusingdirecttwopointblockmethod AT abdulmajidzanariah solvingsecondorderdelaydifferentialequationsusingdirecttwopointblockmethod |