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New uniform order eigh hybrid third derivative block method for solving second order initial value problems


Adeyeye, Oluwaseun and Omar, Zurni (2016) New uniform order eigh hybrid third derivative block method for solving second order initial value problems. Far East Journal of Mathematical Sciences (FJMS), 100 (9). pp. 1515-1531. ISSN 09720871

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Abstract

A number of authors have considered the solution of second order initial value problems (IVPs) and the adoption of block methods of order eight has been seen to be widely applied. However, these previously developed block methods have considered non-hybrid grid points. Hence, this article presents a new hybrid block method of order eight for solving second order IVPs with an improved level of accuracy when compared to previously existing order eight block methods in terms of error. The methodology employed involves a new generalized algorithm for developing the hybrid block method which is another novel contribution existing in this work. Hence, not only this article presents a new block method that can be adopted when solving real life problems modelled as second order IVPs, it also gives a more convenient algorithm for developing hybrid block methods.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 09 Dec 2020 06:33
Last Modified: 09 Dec 2020 06:33
URI: http://repo.uum.edu.my/id/eprint/27957

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