Open AccessAn 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.