Solving second order delay differential equations by direct two and three point one-step block method
In this paper we present a two point and three point one-step block method for solving second order delay differential equations (DDEs). The one-step block method will solve directly the second order DDEs without reducing to first order equations. The two point and three point one-step block metho...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30194/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20two%20and%20three%20point%20one.pdf |
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| author | Rasdi, Nadzirah Abdul Majid, Zanariah Ismail, Fudziah Senu, Norazak Phang, Pei See Mohd Radzi, Hazwani |
| author_facet | Rasdi, Nadzirah Abdul Majid, Zanariah Ismail, Fudziah Senu, Norazak Phang, Pei See Mohd Radzi, Hazwani |
| author_sort | Rasdi, Nadzirah |
| collection | UPM |
| description | In this paper we present a two point and three point one-step block method for solving second order delay differential equations (DDEs). The one-step block method will solve directly the second order DDEs without reducing to first order equations. The two point and three point
one-step block method will compute the solutions for the DDEs at two and three points simultaneously along the interval. These methods will solve the retarded type of DDE of single delay using constant step size. The P- stability and Q-stability are also discussed. The numerical results are presented to illustrate the performance of those block method for solving delay differential equations. |
| first_indexed | 2024-03-06T08:16:46Z |
| format | Article |
| id | upm.eprints-30194 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:16:46Z |
| publishDate | 2013 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | upm.eprints-301942015-10-30T03:21:28Z http://psasir.upm.edu.my/id/eprint/30194/ Solving second order delay differential equations by direct two and three point one-step block method Rasdi, Nadzirah Abdul Majid, Zanariah Ismail, Fudziah Senu, Norazak Phang, Pei See Mohd Radzi, Hazwani In this paper we present a two point and three point one-step block method for solving second order delay differential equations (DDEs). The one-step block method will solve directly the second order DDEs without reducing to first order equations. The two point and three point one-step block method will compute the solutions for the DDEs at two and three points simultaneously along the interval. These methods will solve the retarded type of DDE of single delay using constant step size. The P- stability and Q-stability are also discussed. The numerical results are presented to illustrate the performance of those block method for solving delay differential equations. Hikari Ltd 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30194/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20two%20and%20three%20point%20one.pdf Rasdi, Nadzirah and Abdul Majid, Zanariah and Ismail, Fudziah and Senu, Norazak and Phang, Pei See and Mohd Radzi, Hazwani (2013) Solving second order delay differential equations by direct two and three point one-step block method. Applied Mathematical Sciences, 7 (54). pp. 2647-2660. ISSN 1312-885X; ESSN: 1314-7552 http://www.m-hikari.com/ams/ams-2013/ams-53-56-2013/index.html English |
| spellingShingle | Rasdi, Nadzirah Abdul Majid, Zanariah Ismail, Fudziah Senu, Norazak Phang, Pei See Mohd Radzi, Hazwani Solving second order delay differential equations by direct two and three point one-step block method |
| title | Solving second order delay differential equations by direct two and three point one-step block method |
| title_full | Solving second order delay differential equations by direct two and three point one-step block method |
| title_fullStr | Solving second order delay differential equations by direct two and three point one-step block method |
| title_full_unstemmed | Solving second order delay differential equations by direct two and three point one-step block method |
| title_short | Solving second order delay differential equations by direct two and three point one-step block method |
| title_sort | solving second order delay differential equations by direct two and three point one step block method |
| url | http://psasir.upm.edu.my/id/eprint/30194/1/Solving%20second%20order%20delay%20differential%20equations%20by%20direct%20two%20and%20three%20point%20one.pdf |
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