Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...

Implementation of various numerical methods to solve nonlinear equations, including Newton-Raphson, Bisection, Secant, and more. Each method is demonstrated with sample problems and step-by-step ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

Abstract: Determining the trim point of an aircraft is essential for designing control law and plays a key role in analyzing flight mechanics and overall performance. This point is obtained by solving ...

def newton_raphson_simple(f_str, x0, max_iter=100, tol=1e-6): Simple Newton-Raphson method for solving nonlinear equations f(x) = 0. Parameters: f_str (str): String representation of the function. x0 ...