On Tenth‐Order Hybrid Numerov‐Type Methods
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.
Authors
- Mourad Kchaou (ORCID: https://orcid.org/0000-0002-6849-1745)
- Ch. Tsitouras (ORCID: https://orcid.org/0000-0001-6801-8117)
- Rabeh Abbassi (ORCID: https://orcid.org/0000-0001-8257-6721)
- Sondess Ben Aoun (ORCID: https://orcid.org/0000-0003-2100-330X)
- Houssem Jerbi (ORCID: https://orcid.org/0000-0003-1816-3767)
- Theodore E. Simos (ORCID: https://orcid.org/0000-0002-9220-6924)
Institutions
- Democritus University of Thrace (GR)
- Gulf University for Science & Technology (KW)
- National and Kapodistrian University of Athens (GR)
- University of Ha'il (SA)
- Hangzhou Dianzi University (CN)
- Ulyanovsk State Technical University (RU)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-03-24
- DOI
- https://doi.org/10.1002/mma.10835
- Primary Topic
- Numerical methods for differential equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00