A New Decomposition Method for Solving System of Nonlinear Equations

Mustafa Özel

doi:10.3390/mca15010089

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Article

1 April 2010

A New Decomposition Method for Solving System of Nonlinear Equations

Division of Mathematics, Faculty of Engineering, Dokuz Eylul University, 35160 Tınaztepe, Buca, Izmir, Turkey

Math. Comput. Appl.2010, 15(1), 89-95;https://doi.org/10.3390/mca15010089

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Abstract

In this paper, an efficient decomposition method is constructed and used for solving system of nonlinear equations. The method based on the decomposition technique of Noor [M.A.Noor, K.I.Noor, Some iterative schemes for nonlinear equations, Appl. Math. Comput. 183(2006), 774-779]. This technique is revised to solve the system of nonlinear equations. Some illustrative examples have been presented, to demonstrate the proposed method and the results are compared with those derived from the previous methods. All test problems reveals the accuracy and fast convergence of the suggested method.

Keywords:

Decomposition method; Iterative methods; System of nonlinear equations

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