In this paper, we introduce a new family of tenth‐order hybrid Numerov‐type methods designed for solving second‐order initial value problems (IVPs) with enhanced accuracy and efficiency. Our proposed methods build… Click to show full abstract
In this paper, we introduce a new family of tenth‐order hybrid Numerov‐type methods designed for solving second‐order initial value problems (IVPs) with enhanced accuracy and efficiency. Our proposed methods build on the foundation of existing high‐order Numerov‐type techniques and incorporate advanced strategies for step size adaptation and error control. We provide a comprehensive analysis of the theoretical underpinnings of these methods and validate their performance through extensive numerical experiments.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
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