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 ...

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 ...

In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we ...

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

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 ...

There was an error while loading. Please reload this page. This project is a simple implementation of the "Newton-Raphson Method" for finding the roots of "nonlinear ...

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 ...