Python implementations of 1D, 2D, and 3D electromagnetic wave simulations using the Finite-Difference Time-Domain (FDTD) method, inspired by the works of Jennifer E. Houle and Allen Taflove - fahad ...

Image-Edge-Detection-with-Taylor-Series-and-Finite-Difference This Python project implements Taylor series derivatives and finite difference methods to detect edges in images, efficiently highlighting ...

We present the multiplier method of constructing conservative finite difference schemes for ordinary and partial differential equations. Given a system of differential equations possessing ...

This paper proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain (CFDTD) algorithms. A quantitative ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

We show that there exists a unique difference solution which is unconditionally stable. Using the notion of viscosity solutions, we also prove that the finite difference solution converges uniformly ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...