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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2025-07-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1922 |
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