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Research Article Open access CC BY 3.0

Solving Nonlinear Systems Using Fourth Order Iterative Method

M. A. Hafiz, A. E. Alamir

Journal of Advances in Mathematics and Computer Science · pp. 90–103 · Published 16 Oct 2013

10.9734/BJMCS/2014/5175

Abstract

In this paper, an efficient decomposition method is constructed and used for solving system of nonlinear equations. These methods based on the modified homotopy technique of Noor [1]. This technique is revised to solve the system of nonlinear equations. Our approach yields third and fourth order iterative methods which are more efficient than their classical counterparts such as Newton’s, Chebychev’s and Halley’s methods.

Homotopy method perturbation method System of nonlinear equations Iterative methods Newton's method.

Cited by 2

A new fourth order Newton-type method for solution of system of nonlinear equations

W. Khan, K. Noor, Kaleemulah Bhatti · Applied Mathematics and Computation · 2015

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