Numerical solution for solving second order ordinary differential equations using block method
The purpose of this paper is to present a four point direct block one-step method for solving directly the general second order nonstiff initial value problems (IVPs) of ordinary differential equations (ODEs). The mathematical problems in real world can be written in the form of differential equatio...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
World Scientific Publishing Company
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25316/ http://psasir.upm.edu.my/id/eprint/25316/1/Numerical%20solution%20for%20solving%20second%20order%20ordinary%20differential%20equations%20using%20block%20method.pdf |
| _version_ | 1848845276590112768 |
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| author | Mukhtar, Nur Zahidah Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Mukhtar, Nur Zahidah Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Mukhtar, Nur Zahidah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to present a four point direct block one-step method for solving directly the general second order nonstiff initial value problems (IVPs) of ordinary differential equations (ODEs). The mathematical problems in real world can be written in the form of differential equations and arise in the fields of science and engineering such as fluid dynamic, electric circuit, motion of rocket or satellite and other area of application. The proposed method
will estimate the approximation solutions at four points simultaneously by using variable step size. |
| first_indexed | 2025-11-15T08:44:15Z |
| format | Conference or Workshop Item |
| id | upm-25316 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:44:15Z |
| publishDate | 2011 |
| publisher | World Scientific Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-253162017-04-17T01:46:22Z http://psasir.upm.edu.my/id/eprint/25316/ Numerical solution for solving second order ordinary differential equations using block method Mukhtar, Nur Zahidah Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed The purpose of this paper is to present a four point direct block one-step method for solving directly the general second order nonstiff initial value problems (IVPs) of ordinary differential equations (ODEs). The mathematical problems in real world can be written in the form of differential equations and arise in the fields of science and engineering such as fluid dynamic, electric circuit, motion of rocket or satellite and other area of application. The proposed method will estimate the approximation solutions at four points simultaneously by using variable step size. World Scientific Publishing Company 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25316/1/Numerical%20solution%20for%20solving%20second%20order%20ordinary%20differential%20equations%20using%20block%20method.pdf Mukhtar, Nur Zahidah and Abdul Majid, Zanariah and Ismail, Fudziah and Suleiman, Mohamed (2011) Numerical solution for solving second order ordinary differential equations using block method. In: International Conference on Mathematical and Computational Biology 2011 (ICMCB 2011), 12-14 Apr. 2011, Malacca, Malaysia. (pp. 560-565). 10.1142/S2010194512005661 |
| spellingShingle | Mukhtar, Nur Zahidah Abdul Majid, Zanariah Ismail, Fudziah Suleiman, Mohamed Numerical solution for solving second order ordinary differential equations using block method |
| title | Numerical solution for solving second order ordinary differential equations using block method |
| title_full | Numerical solution for solving second order ordinary differential equations using block method |
| title_fullStr | Numerical solution for solving second order ordinary differential equations using block method |
| title_full_unstemmed | Numerical solution for solving second order ordinary differential equations using block method |
| title_short | Numerical solution for solving second order ordinary differential equations using block method |
| title_sort | numerical solution for solving second order ordinary differential equations using block method |
| url | http://psasir.upm.edu.my/id/eprint/25316/ http://psasir.upm.edu.my/id/eprint/25316/ http://psasir.upm.edu.my/id/eprint/25316/1/Numerical%20solution%20for%20solving%20second%20order%20ordinary%20differential%20equations%20using%20block%20method.pdf |