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 ...

The Bi-Section method finds roots of non-linear equations using interval bisection. Initial Range Calculation: Determines an initial maximum range ((-|xmax|, |xmax|)) for root existence. Calculation ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

This paper deals with the convergence acceleration of iterative nonlinear methods. An effective iterative algorithm, named the three-point method, is applied to nonlinear analysis of structures. In ...

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 ...