Art of PDEs
Turing on Turing
Functions of space can allow us to change how a PDE solution varies in space and time. Here is an example using such a function, given by $I_T(x,y)$, where this function represents a picture. The equations are based on the Schnakenberg model.
Load the interactive simulation.
You can upload your own image by clicking on Alan Turing’s face next to $I_T(x,y)$. The image will be effectively treated as a greyscale function $I_T(x,y)$, which will be approximately 1 when the image is close to white and approximately 0 when the image is close to black.→Images and then clicking on the image of
Change $I_T$ to $I_S$ in Sofya Kovalevskaya also has her own interactive simulation.→Definitions to see another famous mathematical face.
You can upload a replacement for either of these images under→Images. They can each be used as heterogeneities in many parts of VisualPDE.