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Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 30, Issue.: 4

Original-research-article

Fully Implicit Five-quarters Computational Algorithms of Order Five for Numerical Approximation of Second Order IVPs in ODEs

 

L. A. Ukpebor1, E. O. Omole2* and L. O. Adoghe1

1Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.

2Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria.

Article Information

Editor(s):

(1) Dr. Zhenkun Huang, Professor, School of Science, Jimei University, China.

Reviewers:

(1) W. Obeng-Denteh, Kwame Nkrumah University of Science and Technology, Ghana.

(2) Adeyeye Oluwaseun, Universiti Utara Malaysia, Malaysia.

(3) Aliyu Bhar Kisabo, Nigeria.

Complete Peer review History:  http://www.sdiarticle3.com/review-history/44846

Abstracts

This research paper proposes a fully implicit five-quarters computational algorithms of order five for Numerical Approximation of Second order IVPs in ODEs. The method is consistent, convergent, zero stable and A-stable. The method solved second order ordinary differential equations efficiently and accurately. It has a low error constant and gives better approximation than some existing methods.

Keywords :

Fully-implicit; five-quarters; second order; approximation; A-stable; order; dynamic model; IVPs; ODEs.

Full Article - PDF    Page 1-15

DOI : 10.9734/JAMCS/2019/44846

Review History    Comments

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