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A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models

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  • Ramandeep Behl
  • Eulalia Martínez

Abstract

In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations. For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear equations preserving the same convergence order. Moreover, by adding one more additional step, we obtain minimum 5th-order convergence for every value of a free parameter, , and for , the method reaches maximum 6-order convergence. We present an extensive convergence analysis of our scheme. The analytical discussion of the work is upheld by performing numerical experiments on some applied science problems and a large system of nonlinear equations. Furthermore, numerical results demonstrate the validity and reliability of the suggested methods.

Suggested Citation

  • Ramandeep Behl & Eulalia Martínez, 2020. "A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models," Complexity, Hindawi, vol. 2020, pages 1-11, January.
    • Handle: RePEc:hin:complx:1706841
    DOI: 10.1155/2020/1706841
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