New higher order iterative methods for solving nonlinear equations

Year 2018, Volume: 47 Issue: 1, 77 - 91, 01.02.2018

Shuliang Huang Arif Rafiq Muhammad Rizwan Shahzad Faisal Ali

Abstract

In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method. We study the convergence analysis and also present various numerical examples to  demonstrate the validity and efficiency of our methods.

Keywords

Iterative methods, Nonlinear equations, Order of convergence, Auxiliary function, Modified homotopy perturbation method

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