Design and Applicability of Two-Step Fractional Newton–Raphson Method
Developing two-step fractional numerical methods for finding the solution of nonlinear equations is the main objective of this research article. In addition, we present a detailed study of convergence analysis for the methods that have been proposed. By comparing numerically, we can see that the proposed methods significantly improve convergence rate and accuracy. Additionally, we demonstrate how our main results can be applied to basins of attraction.
Authors
- Loredana Ciurdariu (ORCID: https://orcid.org/0000-0002-1234-7939)
- Muhammad Uzair Awan (ORCID: https://orcid.org/0000-0002-1019-9485)
- Awais Gul Khan (ORCID: https://orcid.org/0000-0003-4914-5959)
- Kamel Brahim (ORCID: https://orcid.org/0000-0002-7113-8651)
- Naseem Zulfiqar Ali (ORCID: https://orcid.org/0009-0004-7581-2748)
Institutions
- Government College University, Faisalabad (PK)
- Polytechnic University of Timişoara (RO)
- University of Bisha (SA)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-10-02
- DOI
- https://doi.org/10.3390/fractalfract8100582
- Citations
- 1
- Primary Topic
- Iterative Methods for Nonlinear Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.73