SOLVING SYSTEM OF NONLINEAR EQUATIONS

Abstract

Fundamental problems from engineering, chemistry, medicine, etc. can be formulated as a system of nonlinear equations. Solving systems of nonlinear equations is of great importance, because these systems frequently arise in many branches of computational mathematics. Finding the solution of n-dimensional nonlinear equations can be a challenging problem, even when a unique solution exists. Finding a solution for such a system requires sometimes high computational efforts. In this paper, we try to solve them using two different approaches. Both approaches transform the problem into an optimization problem. One approach uses Newton method and the other one a genetic algorithm. The solution of a nonlinear equation with computer simulation illustrates the algorithm. Several experiments are performed in order to emphasize the advantages and disadvantages of the two methods. Keywords : Nonlinear equation, optimization problem, Newton technique, Genetic Algorithm.