Many phenomena in physics and the other disciplines are frequently characterized by nonlinear partial differential equations (PDEs) [1]. To comprehend the physical mechanisms underlying natural ...

The discrete nonlinear Schrödinger equation (DNLS) is a fundamental mathematical model that describes the evolution of wave amplitudes in lattice systems where the interplay between dispersion and ...

The use of spreadsheets in chemistry is common, mainly in analytical and physical chemistry, where they are used to calculate systems of linear equations, nonlinear equations using the iterative ...

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 ...

ABSTRACT: In this paper, we present a practical matrix method for solving nonlinear Volterra-Fredholm integro-differential equations under initial conditions in terms of Bernstein polynomials on the ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Abstract: This paper explores nonlinear equations in robot arms, focusing on mechanical design, kinematics, and model verification. It discusses their role in addressing dynamic characteristics from ...

The problem of describing the mechanical behavior of materials, which began in the middle of the 20th century, has undergone a real expansion in the world of research and industry with the development ...

New algorithms devised by Pablo Parrilo, an MIT professor of electrical engineering and computer science, have made working with nonlinear systems both easier and more efficient. Imagine you are ...