Three Step Inverse Free Kurchatov-Like Methods of Convergence Order Close to Four for Equations
An inverse free Kurchatov-like methods with three steps is introduced of convergence order close to four to generate sequences approximating solutions of equations defined on complete normed spaces. The local analysis shows R-convergence close to four under conditions controlling the divided difference. Numerous experiments demonstrate the performance of the method.
Authors
- Stepan Shakhno (ORCID: https://orcid.org/0000-0002-3845-6260)
- Samundra Regmi (ORCID: https://orcid.org/0000-0003-0035-1022)
- Halyna Yarmola (ORCID: https://orcid.org/0000-0002-8986-2509)
- Niroj K. Shrestha (ORCID: https://orcid.org/0000-0003-4070-091X)
- Ioannis K. Argyros (ORCID: https://orcid.org/0000-0002-9189-9298)
Institutions
- Cameron University (US)
- Lviv University (UA)
- University of Florida (US)
- University of Houston (US)
Publication Details
- Journal
- European Journal of Mathematical Analysis
- Published
- 2025-05-23
- DOI
- https://doi.org/10.28924/ada/ma.5.15
- Primary Topic
- Iterative Methods for Nonlinear Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00