Journal of Applied Mathematics & Bioinformatics

A Class of an Implicit Stage-two Rational Runge-Kutta Method for Solution of Ordinary Differential Equations

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• Abstract

  In this paper, we derived an implicit stage – two Rational Runge – Kutta method of order Two for solution of ordinary differential equation. The stability analysis of the method shows that our method is A-Stable. The numerical results of the implementation of the scheme on some existing methods which have solved the set of problems.