Numerical Processes for Approximating Solutions of Nonlinear Equations

In this article, we present generalized conditions of three-step iterative schemes for solving nonlinear equations. The convergence order is shown using Taylor series, but the existence high-order derivatives assumed. However, only first derivative appears on these schemes. Therefore, hypotheses limit utilization to operators that are at least nine times differentiable, although may converge. To best our knowledge, no semi-local has been given in setting a Banach space. Our goal extend applicability both local and cases. Moreover, use idea recurrent functions or divided differences one appear This can be applied other high multipoint multistep Numerical applications where criteria tested complement article.