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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

A new embedded improved Runge-Kutta approach to solve first order ordinary differential equation

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pp. 1247–1254Vol. 28Issue 3-BApril 2025DOI: 10.47974/JIM-2214XML
Received:
04 Feb 2025
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2214
Pages:
1247–1254

Abstract

This work presents a novel pair of embedded improved Runge-Kutta techniques for first-order ordinary differential equations (ODEs) numerical integration. Three and four are algebraic orders for this embedded scheme. The two-step approach shown here requires fewer steps per step than the current Runge-Kutta method. The newly embedded approach efficacy in contrast to the existing embedded Runge-Kutta technique is demonstrated numerically.

Keywords

Subject Classifications

Primary 65L05Secondary 65L06

References

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