An Efficient Two-step Iterative Method for Solving System of Nonlinear Equations | Zendy

MOHAMED SEBAK MOHAMED | Zendy; M.A. Hafiz | Zendy

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An Efficient Two-step Iterative Method for Solving System of Nonlinear Equations

Author(s) -

MOHAMED SEBAK MOHAMED,

M.A. Hafiz

Publication year - 2012

Publication title -

journal of mathematics research

Language(s) - English

Resource type - Journals

eISSN - 1916-9809

pISSN - 1916-9795

DOI - 10.5539/jmr.v4n4p28

Subject(s) - mathematics , nonlinear system , quadrature (astronomy) , series (stratigraphy) , iterative method , point (geometry) , mathematical optimization , algorithm , geometry , quantum mechanics , electrical engineering , biology , engineering , paleontology , physics

In this paper, we propose and analyze a new predictor-corrector method for solving a nonlinear system of equations using the weight combination of mid-point, Trapezoidal and quadrature formulas. A new algorithm based on this method has been presented. The proposed method has been tested on a series of examples published in the literature and shows good results. Comparison with other similar methods is given.

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