More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that ...

Tensegrity structures are geometric nonlinear systems and statically and kinematically indeterminate structures that require an initial shape-finding procedure to establish a self-equilibrium state.

Evaporation is a critical process in the concentration of orange juice, affecting product quality and process efficiency. This study develops a comprehensive mathematical model based on mass and ...

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 ...

Determination of a suitable initial estimate for a root of an equation ƒ(x) = 0 by means of computing the roots of a sequence of related equations is described.

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

% 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 ...

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 ...