IJPAM: Volume 118, No. 3 (2018)

Title

NEW SELF-STARTING APPROACH FOR SOLVING
SPECIAL THIRD ORDER INITIAL VALUE PROBLEMS

Authors

Adeyeye Oluwaseun$^1$, Omar Zurni$^2$
$^{1,2}$Mathematics Department
School of Quantitative Sciences
Universiti Utara Malaysia, Sintok, Kedah, MALAYSIA

Abstract

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.

History

Received: 2015-11-09
Revised: 2017-12-04
Published: April 10, 2018

AMS Classification, Key Words

AMS Subject Classification: 65L05, 65L06
Key Words and Phrases: third-derivative, self-starting, block method, special third order, initial value problems

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How to Cite?

DOI: 10.12732/ijpam.v118i3.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 511 - 517


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