👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes each of the equations in the system true. To ...

Learn how to perform numerical calculations using projectile motion in this physics tutorial! This video guides you step by step through solving problems involving velocity, angle, and displacement, ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Abstract: Ordinary differential equations are solved numerically in this paper, using a novel method. Various types of numerical methods find vast application in getting the solution of fractional ...

I wanted to add a new tutorial to the documentation. My idea is to compare a physics informed neural network (PINN) to traditional numerical methods (like finite element or finite difference) for ...

ABSTRACT: This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...

Stiffness-related geometric characteristics are closely linked to the performance of structural systems. The influence of foundation stiffness on the soil-structure interaction (SSI) mechanism was ...

The aim of this paper is to carry out convergence analysis and algorithm implementation of a novel sample-wise backpropagation method for training a class of stochastic neural networks (SNNs). The ...