My project simulates the formation of these patterns using kernel-based reaction diffusion mechanics, which was first described by Kondo (Kondo, Shigeru. 2017. “An Updated Kernel-Based Turing Model ...

The diffusion model is a commonly used tool to ... R., and Tuerlinckx, F. (2002). Estimating parameters of the diffusion model: approaches to dealing with contaminant reaction times and parameter ...

The code implements: LBM Diffusion: Utilizing the D2Q9 lattice model, the simulation solves a diffusion problem based on a relaxation scheme where the LBM distribution functions are updated and ...

As examples, PINN-IT solved the Turing pattern reaction-diffusion model, an advection diffusion model, a transient heating model, and a phase field model 64 times, 2041 times, 28740 times, and 6 times ...

The simulator is designed as a Jupyter notebook written in Python and functionally tested and optimized to run on the freely available cloud platform Google Collaboratory. Although the simulator, in ...