New higher order iterative methods for solving nonlinear equations

Authors : Shuliang HUANG, Arif Rafiq, Muhammad Rizwan SHAHZAD, Faisal ALİ

Pages : 77-91

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Publication Date : 2018-02-01

Article Type : Research Paper

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