Applied Mathematics & Information Sciences

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In this paper, we suggest and analyze a new family of iterative methods for finding zeros of multiplicity of nonlinear equations by using the variational iteration technique. These new methods include the Halley method and its variants forms as special cases. We also give several examples to illustrate the efficiency of these methods. Comparison with modified Newton method is also given. These new methods can be considered as an alternative to the modified Newton method. This technique can be used to suggest a wide class of new iterative methods for solving system of nonlinear equations.

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