Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CLASSES OF HIGHER ORDER CONVERGENT ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

  • Received : 2024.04.27
  • Accepted : 2024.07.08
  • Published : 2024.07.30
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Abstract

In this paper, we suggest and analyze new higher order classes of iterative methods for solving nonlinear equations by using variational iteration technique. We present several examples to illustrate the efficiency of the proposed methods. Comparison with other similar methods is also given. New methods can be considered as an alternative of the existing methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.

Keywords

Acknowledgement

The authors would like to thank the editor and the anonymous reviewers for their constructive comments and suggestions, which improved the quality of this paper.

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