Towards Using Genetic Algorithm for Solving Nonlinear Equation Systems
نویسندگان
چکیده
This paper proposes a new paradigm for solving systems of nonlinear equations through using Genetic Algorithm (GA) techniques. So, a great attention was presented to illustrate how genetic algorithms (GA) techniques can be used in finding the solution of a system described by nonlinear equations. To achieve this purpose, we apply Gauss–Legendre integration as a technique to solve the system of nonlinear equations then we use genetic algorithm (GA) to find the results without converting the nonlinear equations to linear equations. After that, we compare the obtained result that is achieved by using GA with the exact solution that is obtained by numerical methods. Also, in this paper, an approach to solve the system of nonlinear equations needed to define a Gauss–Legendre numerical integration is presented. The obtained results indicate that a GA is effective and represents an efficient approach to solve the systems of nonlinear equations that arise in the implementation of Gauss–Legendre numerical integration.
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