In this paper, we suggest and study Simpson's formula, and Newton's two, three and four Cosed formulas iterative methods for solving the system of nonlinear equations by using Predictor-Corrector of Newton method. We present four new algorithms for solving the system of nonlinear equations (SNLE). We prove that these new algorithms have convergence. Several numerical examples are given to illustrate the efficiency and performance of the new iterative methods. These new algorithms may be viewed as an extensions and generalizations of the existing methods for solving the system of nonlinear equations.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 2)

Pages:

1-12

Citation:

M.Q. Khirallah and M.A. Hafiz, "Novel Three Order Methods for Solving a System of Nonlinear Equations", Bulletin of Mathematical Sciences and Applications, Vol. 2, pp. 1-12, 2012

Online since:

November 2012

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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[1] Z. Liu, G. Sun, "Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs", Journal of Applied Mathematics and Physics, Vol. 04, p. 2038, 2016

DOI: https://doi.org/10.4236/jamp.2016.411203[2] H. Srivastava, J. Iqbal, M. Arif, A. Khan, Y. Gasimov, R. Chinram, "A New Application of Gauss Quadrature Method for Solving Systems of Nonlinear Equations", Symmetry, Vol. 13, p. 432, 2021

DOI: https://doi.org/10.3390/sym13030432