Learn how to numerically simulate LR and LRC circuits in Python by solving the circuit differential equations step by step. Explore current and voltage vs. time, compare numerical results to analytic ...

How to model a pendulum in Python using Jupyter Notebooks. This video walks through the physics of pendulum motion and shows how to simulate it step by step with clean Python code and clear ...

Abstract: Nonlinear equation systems are ubiquitous in a variety of fields, and how to tackle them has drawn much attention, especially dynamic ones. As a particular class of recurrent neural network, ...

Abstract: Compared with conventional dynamic nonlinear equation systems, a hybrid double-deck dynamic nonlinear equation system (H3DNES) not only has multiple layers describing more different tasks in ...

Nonlinear problems, originating from applied science that is closely related to practices, contain rich and extensive content. It makes the corresponding nonlinear models also complex and diverse. Due ...

Scientists have discovered a way to use live tissue as a computational reservoir to solve problems and potentially predict chaotic systems like the weather. When you purchase through links on our site ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

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 ...