Abstract

Solving System of Nonlinear Equations using Genetic Algorithm

Chhavi Mangla1*, Musheer Ahmad1 and Moin Uddin2

1Department of Applied Sciences and Humanities, FET, Jamia Millia Islamia, New Delhi, INDIA. 2Department of Computer Science and Engineering, Apeejay Stya University, Gurugram, Haryana, INDIA.

ABSTRACT

Finding solution of nonlinear system of equations is a peculiar task for engineering and science fraternities. In this paper, we propose solution of nonlinear systems through a stochastic method namely, Genetic algorithm. Comprehensive experimentation is performed on standard benchmark problems for validating the present scheme. The original optimization problem is first assigned a fitness function and then, the minimization task is carried out by selection of the parameters and tuning of the algorithm. Further, the sensitivity analysis is studied to analyze the effect of variations of parameters. The results are duly compared and ensure the effectiveness of the work in handling complex nonlinear system of equations.

Keywords :Genetic Algorithm, Nonlinear equations, Optimization, Soft Computing Techniques.

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