Title of article
Analysis of Derivative Free Rational Scheme
Author/Authors
Thuso, Nkatse University of Botswana, Botswana , Ronald, Tshelametse University of Botswana, Botswana
From page
135
To page
142
Abstract
In this research paper we present analysis of the derivative free rational one step scheme for solving initial value problems (IVPs) of first order Ordinary differential Equations (ODEs). The scheme is consistent and stability property resembles of the trapezoidal method, which is A-stable. This method has been applied to problems with singularities and the one which are considered to be stiff. Numerical results show that the scheme is suitable for solving both stiff problems and the one whose solutions possess singularities.
Keywords
Rational Methods , Ordinary Differential Equations , step size , Initial Value Problems , stiffness , Singularities
Journal title
Matematika
Journal title
Matematika
Record number
2570206
Link To Document