The project report details the development and testing of a Newton-Raphson-based solver for systems of nonlinear equations. This solver incorporates the Secant method to approximate the Jacobian ...

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 ...

A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with nonlinear behavior is based on the Newton-Raphson iterative scheme, ...

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 ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...