Here, I present a novel approach using ChatGPT o1 to generate a Python-based stochastic simulation ... reaction are “Limit random walk to 2D box, add starting parameters of box dimension, diffusion ...

This Python repository contains the implementation of the finite difference method for solving the Hamilton-Jacobi-Bellman (HJB) equation associated to the importance sampling (IS) problem of ...

The goal of this project is to implement a numerical solver that is able to solve the convection- diffusion equation through the use of the Finite ... on a square mesh of triangular elements on a 2D ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Using equations, we can calculate the chemical and electrical ... intracellular and extracellular RxD species concentration in a 2D region; (2) matrix or stacked bar plot of connectivity; (3) 2D graph ...

Fick’s classical diffusion equation is so much a part of the scientific folklore ... Note the systematic deviation between the data and the straight line drawn by Fick. The plot of the critical ...