Volume 5, Issue 2, June 2019, Page: 45-51
Solution of an Initial Value Problemin Ordinary Differential Equations Using the Quadrature Algorithm Based on the Heronian Mean
Bazuaye Frank Etin-Osa, Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Rivers State, Nigeria
Received: May 16, 2019;       Accepted: Jun. 13, 2019;       Published: Aug. 6, 2019
DOI: 10.11648/j.ijamtp.20190502.12      View  92      Downloads  26
Abstract
Over the years, the Quadrature Algorithm as a method of solving initial value problems in ordinary differential equations is known to be of low accuracy compared to other well known methods. However, It has been shown that the method perform well when applied to moderately stiff problems. In this present study, the nonlinear method based on the Heronian Mean (HeM), of the function value for the solution of initial value problems is developed. Stability investigation is in agreement with the known Trapezoidal method.
Keywords
Harmonic Mean, Stability, Stiff Problems, Geometric Mean, Accuracy
To cite this article
Bazuaye Frank Etin-Osa, Solution of an Initial Value Problemin Ordinary Differential Equations Using the Quadrature Algorithm Based on the Heronian Mean, International Journal of Applied Mathematics and Theoretical Physics. Vol. 5, No. 2, 2019, pp. 45-51. doi: 10.11648/j.ijamtp.20190502.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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