Solving ordinary differential equations by the Dormand Prince method
In general, differential equations in mathematics can be defined as an equation that comprises of one or more functions and its derivatives. Meanwhile ordinary differential equation in mathematics is declared as differential equations that contains one or more functions of one independent va...
| Main Authors: | , |
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| Format: | Book Section |
| Language: | English |
| Published: |
Penerbit UTHM
2018
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/6961/1/C1574_ab18e038a382d5ada2ad9dd92dc80e57.pdf |
| _version_ | 1796869465983418368 |
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| author | Ang, Tau Keong Amir Hamzah, Nor Shamsidah |
| author_facet | Ang, Tau Keong Amir Hamzah, Nor Shamsidah |
| author_sort | Ang, Tau Keong |
| collection | UTHM |
| description | In general, differential equations in mathematics can be
defined as an equation that comprises of one or more functions and
its derivatives. Meanwhile ordinary differential equation in
mathematics is declared as differential equations that contains one or
more functions of one independent variable and its ordinary
derivatives. Unlike partial differential equations, ordinary
differential equations involve only the ordinary derivatives with
respect to one independent variable. This research was conducted to
solve ordinary differential equations by a numerical method called
the Dormand Prince method. Consequently the solutions obtained
are compared with the other numerical method in terms of accuracy.
Dormand Prince method is one of the similar methods as
RungeKutta method. It is used to solve an ordinary differential
equation explicitly by six function evaluations. Throughout this
research, the accuracy of the Dormand Prince method in solving
ordinary differential equations was examined by comparing it with
the other numerical method, which is Runge Kutta Fehlberg method. |
| first_indexed | 2024-03-05T21:55:19Z |
| format | Book Section |
| id | uthm.eprints-6961 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:55:19Z |
| publishDate | 2018 |
| publisher | Penerbit UTHM |
| record_format | dspace |
| spelling | uthm.eprints-69612022-04-18T01:43:38Z http://eprints.uthm.edu.my/6961/ Solving ordinary differential equations by the Dormand Prince method Ang, Tau Keong Amir Hamzah, Nor Shamsidah QA75 Electronic computers. Computer science In general, differential equations in mathematics can be defined as an equation that comprises of one or more functions and its derivatives. Meanwhile ordinary differential equation in mathematics is declared as differential equations that contains one or more functions of one independent variable and its ordinary derivatives. Unlike partial differential equations, ordinary differential equations involve only the ordinary derivatives with respect to one independent variable. This research was conducted to solve ordinary differential equations by a numerical method called the Dormand Prince method. Consequently the solutions obtained are compared with the other numerical method in terms of accuracy. Dormand Prince method is one of the similar methods as RungeKutta method. It is used to solve an ordinary differential equation explicitly by six function evaluations. Throughout this research, the accuracy of the Dormand Prince method in solving ordinary differential equations was examined by comparing it with the other numerical method, which is Runge Kutta Fehlberg method. Penerbit UTHM 2018 Book Section PeerReviewed text en http://eprints.uthm.edu.my/6961/1/C1574_ab18e038a382d5ada2ad9dd92dc80e57.pdf Ang, Tau Keong and Amir Hamzah, Nor Shamsidah (2018) Solving ordinary differential equations by the Dormand Prince method. In: A Letter on Applications of Mathematics and Statistics. Penerbit UTHM, pp. 73-78. ISBN 978-967-2216-06-3 |
| spellingShingle | QA75 Electronic computers. Computer science Ang, Tau Keong Amir Hamzah, Nor Shamsidah Solving ordinary differential equations by the Dormand Prince method |
| title | Solving ordinary differential equations by the Dormand Prince method |
| title_full | Solving ordinary differential equations by the Dormand Prince method |
| title_fullStr | Solving ordinary differential equations by the Dormand Prince method |
| title_full_unstemmed | Solving ordinary differential equations by the Dormand Prince method |
| title_short | Solving ordinary differential equations by the Dormand Prince method |
| title_sort | solving ordinary differential equations by the dormand prince method |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.uthm.edu.my/6961/1/C1574_ab18e038a382d5ada2ad9dd92dc80e57.pdf |
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