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/ http://eprints.uthm.edu.my/6961/1/C1574_ab18e038a382d5ada2ad9dd92dc80e57.pdf |
| Summary: | 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. |
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