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On some extension of Traub–Steffensen type methods in Banach spaces
- Source :
- Computational and Applied Mathematics; October 2024, Vol. 43 Issue: 7
- Publication Year :
- 2024
-
Abstract
- In the present work, we construct a sixth order derivative free family without memory for solving nonlinear operator equations in Banach spaces. We further modify this to a ninth order family with memory without any additional functional evaluation. Local convergence analysis of both these methods have been studied using assumptions only on the first derivative. Numerical computations validate the theoretical results and show the superiority of our methods over the existing ones. Basins of attraction have also been presented to see the dynamical behaviour of the proposed methods.
Details
- Language :
- English
- ISSN :
- 22383603 and 18070302
- Volume :
- 43
- Issue :
- 7
- Database :
- Supplemental Index
- Journal :
- Computational and Applied Mathematics
- Publication Type :
- Periodical
- Accession number :
- ejs67424912
- Full Text :
- https://doi.org/10.1007/s40314-024-02925-x