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New self-starting approach for solving special third order initial value problems

Oluwaseun, Adeyeye and Omar, Zurni (2018) New self-starting approach for solving special third order initial value problems. International Journal of Pure and Applied Mathematics, 118 (3). pp. 1-8. ISSN 1311-8080

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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.

Item Type: Article
Uncontrolled Keywords: third-derivative, self-starting, block method, special third order, initial value problems
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 02 Dec 2020 07:01
Last Modified: 02 Dec 2020 07:01
URI: http://repo.uum.edu.my/id/eprint/27944

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