New self-starting approach for solving special third order initial value problems
Third order initial value problems are generally solved numerically by developing numerical methods designed for third order differential equations. Also, to improve the accuracy of the methods, most of the numerical methods are implemented with starting values. However, it has been observed that...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Publications, Ltd.
2018
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/27944/1/2.pdf http://repo.uum.edu.my/27944/ https://ijpam.eu/contents/2018-118-3/index.html |
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| Summary: | Third order initial value problems are generally solved numerically by developing
numerical methods designed for third order differential equations. Also, to improve the accuracy of the methods, most of the numerical methods are implemented with starting values.
However, it has been observed that a third derivative method developed for solving second
order initial value problems can also be adopted to solve third order initial value problems.
Although, this third derivative method is adopted in self-starting mode, it is seen to be very
relevant from the results obtained in this paper. This third derivative block method is adopted
to solve some special third order numerical problems previously solved in literature and the
method gave better results despite that the previous methods have equal and higher order. |
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