GitHub

Load flow study using Gauss-Seidel method and Newton-Raphson methods

This project focuses on implementing two essential numerical techniques — Gauss-Seidel and Newton-Raphson methods — to perform load flow analysis in power systems. These methods are widely used in ...
GitHub

Numerical Solution of Diode Circuit Using Hybrid Root-Finding Methods

This repository documents a comparative numerical study conducted as part of a Numerical Methods course. The objective is to solve a nonlinear diode equation arising in electronic circuit analysis and ...
IEEE

Comparative Study of Numerical Solutions to non-Linear Equations Using Regula-Falsi and Newton-Raphson Method

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 ...
IEEE

Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-linear Magnetic Equivalent Circuit Analysis

Abstract: In this paper, the non-linear magnetic system equations are derived. The Newton-Raphson method is used to solve the system of non-linear equations. A simplified Jacobian is derived for both ...
Scientific Research Publishing

Computing Octonions Roots by Newton’s Method ()

1 Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia. 2 Department of Mathematics, College of Mathematical Sciences, ...