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Refining Euler and fourth-order Runge-Kutta methods using curvature-based adaptivity

This paper introduces curvature-adaptive variants of both the Euler and Runge-Kutta methods for solving ordinary differential equations (ODEs). By incorporating local curvature information into step size selection, the proposed Curvature-Adaptive Euler (CAE) and Curvature-Adaptive fourth-order Rung...

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Bibliografski detalji
Glavni autor: Anes MOULAI-KHATIR
Format: Artigo
Jezik:Inglês
Izdano: Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila 2025-07-01
Serija:Journal of Innovative Applied Mathematics and Computational Sciences
Teme:
Online pristup:https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1922
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