A TWO-STEP FIFTH ORDER RUNGE-KUTTA METHOD

In this article, we develop a two-step Runge-Kutta method of order 5 that depends on a free parameter to solve ordinary differential equation. For , the two-step and one-step methods of order 5 of Butcher are found. An estimation of the error of this two-step method is proposed, and the comparison of the stability region with that of the one-step method is made.

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Publication Details

Journal
International Journal of Numerical Methods and Applications
Published
2025-09-01
DOI
https://doi.org/10.17654/0975045226002
Primary Topic
Electromagnetic Simulation and Numerical Methods
Type
article
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article

A TWO-STEP FIFTH ORDER RUNGE-KUTTA METHOD

Kaman Mondobozi Lélén
International Journal of Numerical Methods and Applications
Electromagnetic Simulation and Numerical Methods
article

A TWO-STEP FIFTH ORDER RUNGE-KUTTA METHOD

Kaman Mondobozi Lélén
article en

Abstract

In this article, we develop a two-step Runge-Kutta method of order 5 that depends on a free parameter to solve ordinary differential equation. For , the two-step and one-step methods of order 5 of Butcher are found. An estimation of the error of this two-step method is proposed, and the comparison of the stability region with that of the one-step method is made.

International Journal of Numerical Methods and ApplicationsVol. 26(1)
Openalex Percentile: Top 78%
Electromagnetic Simulation and Numerical Methods
DOISourceOpenAlex
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A TWO-STEP FIFTH ORDER RUNGE-KUTTA METHOD — Kaman Mondobozi Lélén · International Journal of Numerical Methods and Applications (2025) | TGRS Research Map | TGRS