Abstract
This paper presents a comparative analysis of the modified Newton-Raphson technique with other iterative technique, incorporating a damping factor for the numerical simulation of nonlinear equations. The study evaluates the convergence rate, computational efficiency, convergence rate, and accuracy of the modified Newton-Raphson technique in comparison to the existing Newton-Raphson method, the secant method, and the fixed-point iteration method. The findings demonstrate that the modified Newton-Raphson technique exhibits faster convergence and higher accuracy compared to the other iterative methods for wide range of nonlinear equations. The paper also discusses the potential improvements and limitations of the modified Newton-Raphson technique, as well as its applicability to complex realworld problems.
Keywords: Damping factor, Iterative methods, Modified Newton-Raphson, Nonlinear equations, Numerical simulation.