SciELO

Iterative strategies associated with the normal flow technique on the nonlinear analysis of structural arches

A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with static nonlinear behavior is based on the Newton-Raphson iterative ...
Phys.org

Mathematician solves algebra's oldest problem using intriguing new number sequences

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...
IEEE

Comparative Study of Numerical Solutions to non-Linear Equations Using Regula-Falsi and Newton-Raphson Method

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 ...
Frontiers

Complex fracture description and quasi-elastic energy development mathematical model for shale oil reservoirs

Reservoir numerical simulation is an important tool and method for the reasonable and efficient development of shale reservoirs. Accurate description of three-dimensional fractures in shale reservoir ...
Scientific Research Publishing

Simulation of Steel Reinforcement on the Nonlinear Behaviour of Slender Glulam Beam Columns by Using the Newton-Raphson Method ()

Laboratory of Civil Engineering and Mechanics, Department of Civil Engineering, National Advanced School of Engineering at Yaounde, The University of Yaounde I, Yaounde, Cameroon. The current theory ...
Scientific Research Publishing

AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method ()

Department of Computer Science, Regentropfen College of Applied Sciences, Bolgatanga, Ghana. In the realm of computational mathematics and scientific computing, the choice of software can profoundly ...