Abstract: Systems of nonlinear equations are known as the basis for many models of engineering and data science, and their accurate solutions are very critical in achieving progress in these fields.

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

Abstract: This paper presents a detailed investigation into the effectiveness of iterative methods in solving the linear system subproblem of a Newton power flow solution process. An exact Newton ...

This repository contains MATLAB code implementations for solving nonlinear equations and performing numerical integrations to model the dynamics of a body falling through a fluid. The project focuses ...

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 ...

-\left(\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}\right)+e^u=g(x, y) Here $u=u(x, y)$ is a function in the two variables $x$ and $y$, defined ...

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 ...

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 ...