An efficient fifth-order iterative scheme for solving a system of nonlinear equations and PDE

Abstract

This article, introduces an efficient fifth-order iterative technique for solving systems of nonlinear equations. The order of convergence of the proposed method has been verified by the computational order of convergence. Some numerical examples are employed to show the superiority of the proposed iterative method. The computational efficiency index has also been illustrated and analysed. The application of proposed scheme for solving nonlinear PDE has also been discussed here.