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Variational iteration technique for solving a system of nonlinear equations
Journal article   Peer reviewed

Variational iteration technique for solving a system of nonlinear equations

Muhammad Aslam Noor, Muhammad Waseem, Khalida Inayat Noor and Eisa Al-Said
Optimization letters, Vol.7(5), pp.991-1007
01/06/2013
DOI: https://doi.org/10.1007/s11590-012-0479-3

Abstract

Mathematics Mathematics, Applied Operations Research & Management Science Physical Sciences Science & Technology Technology
In this paper, we use the variational iteration technique to suggest and analyze some new iterative methods for solving a system of nonlinear equations. We prove that the new method has fourth-order convergence. Several numerical examples are given to illustrate the efficiency and performance of the new iterative methods. Our results can be viewed as a refinement and improvement of the previously known results.

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