AN EFFICIENT EIGHTH ORDER FAMILY OF ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS

Year 2025, Volume: 15 Issue: 9, 2406 - 2420, 01.09.2025

Saima Yaseen Fiza Zafar

Abstract

In this paper, we analyse the underlying computational cost as well as applicability of the new iterative methods for real-life problems and illustrate that the new schemes produce aproximations of greater numerical accuracy for solving nonlinear systems. Basins of attraction are also given for some test problems to study the convergence regions.

Keywords

Iterative methods , system of nonlinear equations , optimal eighth order of convergence , computational cost , convergence regions.

References

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