Learn how to solve linear systems using the matrix approach in Python. This video explains how matrices represent systems of equations and demonstrates practical solutions using linear algebra ...

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 ...

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: This paper presents a new coupling matrix synthesis method. The method synthesizes a coupling matrix by moving poles and zeros to their own target positions in the complex plane.

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 ...

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 ...

China Nuclear Power Technology Research Institute Co., Ltd., Shen Zhen, China The thermal–hydraulic dynamics in containment are governed by a system of stiff ordinary differential equations (ODEs). A ...

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 ...

Cahn-Hilliard Equation: This equation models the time evolution of a scalar field $\phi$ which is a fourth-order partial differential equation that models phase separation. Its basic form in real ...