Variational iteration technique for solving nonlinear equations. (English) Zbl 1188.65067

The authors use the variational iteration technique to construct some new iterative methods for solving nonlinear equations.Two auxiliary functions are used. One of them can be regarded as a predictor iterative method and another as a corrector method. The suggested methods are free from higher-order derivatives and therefore can be considered as alternatives to the Newton method.


65H05 Numerical computation of solutions to single equations
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