alexa A New Numerical Method for Solving Stiff Initial Value Problems
ISSN: 2476-2296

Fluid Mechanics: Open Access
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Research Article

A New Numerical Method for Solving Stiff Initial Value Problems

B. Babangida*, H. Musa and L. K. Ibrahim

Department of Mathematics and Computer Sciences, Faculty of Natural and Applied Sciences, Umaru Musa Yar'adua University Katsina, Nigeria

*Corresponding Author:
B. Babangida
Department of Mathematics and Computer Sciences
Faculty of Natural and Applied Sciences
Umaru Musa Yar'adua University Katsina
Katsina State, Nigeria
Tel: +2347067704150
E-mail: [email protected]

Received Date: September 25, 2016; Accepted Date: October 23, 2016; Published Date: October 30, 2016

Citation: Babangida B, Musa H, Ibrahim L. K. (2016) A New Numerical Method for Solving Stiff Initial Value Problems. Fluid Mech Open Acc 3: 136.

Copyright: © 2016 Babangida B, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

A new numerical method that computes 2–points simultaneously at each step of integration is derived. The numerical scheme is achieved by modifying an existing DI2BBDF method. The method is of order 2. The stability analysis of the new method indicates that it is both zero and A–stable, implying that it is suitable for stiff problems. The necessary and sufficient conditions for the convergence of the method are also established which proved the convergence of the method. Numerical results show that the method outperformed some existing algorithms in terms of accuracy.

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