A family of third order iterative methods for solving nonlinear equations free of second derivative

In this paper, we proposedand analysed a family of iterative methods for solving nonlinearproblems. 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.