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2016•Journal of Mathematical and Computational ScienceRequires access

A weighted fourth order Runge-Kutta method based on contra-harmonic mean

Eko Adhy Setiawan, Mudassar Imran, Syamsudhuha

Open publisher page 3 citations

Abstract

This paper discusses a weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential equations. The local truncation error and stability analysis for this method are presented. The numerical experiment reveals that the proposed method is suitable for solving the stiff initial value problems.

About this research paper

What this paper is about

This paper discusses a weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential equations. The local truncation error and stability analysis for this method are presented. The numerical experiment reveals that the proposed method is suitable for solving the stiff initial value problems.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper discusses a weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential equations. The local truncation error and stability analysis for this method are presented. The numerical experiment reveals that the proposed method is suitable for solving the stiff initial value problems.

Key concepts: Mathematics, Runge–Kutta methods, Ordinary differential equation, Truncation error, Truncation (statistics), Stability (learning theory), Order (exchange), Harmonic

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