Solving Nonlinear Systems Using Fourth Order Iterative Method
M. A. Hafiz *
Department of Mathematics, Faculty of Science and Arts, Najran University, 1988, Saudi Arabia.
A. E. Alamir
Department of Mathematics, Faculty of Science and Arts, Najran University, 1988, Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, an efficient decomposition method is constructed and used for solving system of nonlinear equations. These methods based on the modified homotopy technique of Noor [1]. This technique is revised to solve the system of nonlinear equations. Our approach yields third and fourth order iterative methods which are more efficient than their classical counterparts such as Newton’s, Chebychev’s and Halley’s methods.
Keywords: Homotopy method, perturbation method, System of nonlinear equations, Iterative methods, Newton's method.