Some quadrature based three-step iterative methods for non-linear equations

Abstract

In this paper, we present three-step quadrature based iterative methods for solving non-linear equations. The convergence analysis of the methods is discussed. It is established that the new methods have convergence order six, seven and eight respectively. Numerical tests show that the new methods are comparable with the well known existing methods and in many cases give better results. Our results can be considered as an improvement and refinement of the previously known results in the literature.