This MATLAB project aims to solve the nonlinear equation tan(x) = q tanh(x), where 'x' is the unknown variable, and 'q' is a positive real number. The program is designed to extract the first 'n' ...

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 ...

In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the ...

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 ...

Abstract: Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy ...

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

ABSTRACT: Diffuse optical tomography (DOT) using near-infrared (NIR) light is a promising tool for noninvasive imaging of deep tissue. The approach is capable of reconstructing the quantitative ...

The Hermitian and skew-Hermitian splitting (HSS) method is an unconditionally convergent iteration method for solving large sparse non-Hermitian positive definite system of linear equations. By making ...