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Higher order iterative schemes for nonlinear equations using decomposition technique

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  • Shah, Farooq Ahmed
  • Noor, Muhammad Aslam

Abstract

In this paper, we suggest and analyze some unique recurrence relations which can generate different classes of iterative methods for solving nonlinear equations using the system of coupled equations together with decomposition technique by using an auxiliary function. Various numerical examples are given to illustrate the efficiency and performance of the newly suggested methods. These new iterative methods may be viewed as an addition and generalization of the existing methods for solving nonlinear equations.

Suggested Citation

  • Shah, Farooq Ahmed & Noor, Muhammad Aslam, 2015. "Higher order iterative schemes for nonlinear equations using decomposition technique," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 414-423.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:414-423
    DOI: 10.1016/j.amc.2015.05.054
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    1. Shah, Farooq Ahmed & Noor, Muhammad Aslam, 2015. "Some numerical methods for solving nonlinear equations by using decomposition technique," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 378-386.
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