Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of Equation Solvers

In this article, we suggest the local analysis of a uni-parametric third and fourth order class iterative algorithms for addressing nonlinear equations in Banach spaces. The proposed convergence is established using an ω-continuity condition on first Fréchet derivative. way, utility discussed schemes extended application Taylor expansion removed. Furthermore, study provides radii balls uniqueness solution along with calculable error distances. dynamical family also presented. Finally, provide numerical explanations that show suggested performs well situation where earlier approach cannot be implemented.