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A new fourth order Newton-type method for solution of system of nonlinear equations

Author

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  • Khan, Waseem Asghar
  • Noor, Khalida Inayat
  • Bhatti, Kaleemulah
  • Ansari, Faryal Aijaz

Abstract

In this paper we suggest a series of iterative schemes for solution of nonlinear equations. We have derived these schemes using Adomian Decomposition Technique developed by Adomian in 1980s [22]. The methods we suggest have good efficiency and important thing is that these methods are of practical importance. The fourth order convergence of the method is proved and few examples are presented to illustrate the methods.

Suggested Citation

  • Khan, Waseem Asghar & Noor, Khalida Inayat & Bhatti, Kaleemulah & Ansari, Faryal Aijaz, 2015. "A new fourth order Newton-type method for solution of system of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 724-730.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:724-730
    DOI: 10.1016/j.amc.2015.08.081
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    Cited by:

    1. Abbasbandy, Saeid & Bakhtiari, Parisa & Cordero, Alicia & Torregrosa, Juan R. & Lotfi, Taher, 2016. "New efficient methods for solving nonlinear systems of equations with arbitrary even order," Applied Mathematics and Computation, Elsevier, vol. 287, pages 94-103.
    2. Ramandeep Behl & Alicia Cordero & Juan R. Torregrosa & Ali Saleh Alshomrani, 2018. "New Iterative Methods for Solving Nonlinear Problems with One and Several Unknowns," Mathematics, MDPI, vol. 6(12), pages 1-17, December.

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