Interesting Engineering

Researchers unlock new potential in Newton’s method, 300 years after its creation

In the 1680s, Isaac Newton devised a method to tackle this problemiStock Photos For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex ...
GitHub

three_variables_newton_1.m

% This Matlab code solves three-variable non-linear equation f(x) = 0 using Newton-Raphson iterative method [1]. % Ref. [1] S. Chapra, "Applied numerical methods with MATLAB", Mc Craw Hill, Singapore ...
GitHub

newton-raphson-method

Add a description, image, and links to the newton-raphson-method topic page so that developers can more easily learn about it.
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 ...
marktechpost

Newton Informed Neural Operator: A Novel Machine Learning Approach for Computing Multiple Solutions of Nonlinear Partials Differential Equations

Neural networks have been widely used to solve partial differential equations (PDEs) in different fields, such as biology, physics, and materials science. Although current research focuses on PDEs ...
Frontiers

Complex fracture description and quasi-elastic energy development mathematical model for shale oil reservoirs

Reservoir numerical simulation is an important tool and method for the reasonable and efficient development of shale reservoirs. Accurate description of three-dimensional fractures in shale reservoir ...
IEEE

Newton–Raphson Solver for Finite Element Methods Featuring Nonlinear Hysteresis Models

Abstract: It is well known that the Newton-Raphson method is the most popular iterative method for nonlinear finite element problems. The method has a quadratic convergence. Under certain conditions ...
Scientific Research Publishing

AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method ()

Department of Computer Science, Regentropfen College of Applied Sciences, Bolgatanga, Ghana. In the realm of computational mathematics and scientific computing, the choice of software can profoundly ...