Open Access Library Journal

Volume 6, Issue 4 (April 2019)

ISSN Print: 2333-9705   ISSN Online: 2333-9721

Google-based Impact Factor: 0.60  Citations  

The Explicit Fatunla’s Method for First-Order Stiff Systems of Scalar Ordinary Differential Equations: Application to Robertson Problem

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DOI: 10.4236/oalib.1105291    685 Downloads   2,003 Views  Citations

ABSTRACT

Ordinary differential equations (ODEs) are among the most important mathe-matical tools used in producing models in the physical sciences, biosciences, chemical sciences, engineering and many more fields. This has motivated re-searchers to provide efficient numerical methods for solving such equations. Most of these types of differential models are stiff, and suitable numerical methods have to be used to simulate the solutions. This paper starts with a sur-vey on the basic properties of stiff differential equations. Thereafter, we present the explicit one-step algorithm proposed by Fatunla to solve stiff systems of first-order scalar ODEs. As an illustrative example, we consider the Robertson problem (RP) which is known to be stiff. The results obtained with the explicit Fatunla method (EFM) are compared with those computed by the solver RADAU which is based on implicit Runge-Kutta methods. Our results are in good agreement with the latter ones.

Share and Cite:

Nyengeri, H. , Ndenzako, E. and Nizigiyimana, R. (2019) The Explicit Fatunla’s Method for First-Order Stiff Systems of Scalar Ordinary Differential Equations: Application to Robertson Problem. Open Access Library Journal, 6, 1-15. doi: 10.4236/oalib.1105291.

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