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

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Effective improved Runge-Kutta Nystrom for second order ODEs with diagonally implicit

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pp. 1153–1160Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2295XML
Received:
01 May 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2295
Pages:
1153–1160

Abstract

This study constructs a novel three-stages, diagonally implicits improved Runge-Kutta nystrom technique. The suggested approach was created to address second - order ordinary differentials equation (ODEs). A derived methods involves fewer steps than the current Runge-Kutta-Nystrom (RKN) methods, resulting in fewer function evaluations per step. A few numericals experiment is carried out to demonstrate effectiveness and robustness for a novel approaches.

Keywords

Subject Classifications

Primary 65L05Secondary 65L06

References

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