A family of third order iterative methods for solving nonlinear equations free of second derivative
Abstract
In this paper, we proposed and analysed a family of iterative methods for solving nonlinear
problems. The methods have been developed by applying Adomian decomposition method to
Taylor’s series expansion. Using one-way ANOVA, the methods are compared with other existing
methods in terms of number of iterations and solution to convergence between the individual
methods used. Numerical examples are used in the comparison to justify the efficiency of the new
iterative methods.