2012•Unpublished venueRequires access

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

C. E. Abhulimen, J. A. Uloko

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.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Runge–Kutta methods, Mathematics, Ordinary differential equation, Numerical methods for ordinary differential equations, L-stability, Explicit and implicit methods, Backward differentiation formula, Class (philosophy)