Solution of a System of two PDE in two dimensions

Hi,

I need to solve a system of two PDE with time and 2 Dimensional space dependence.

The system is of the form

where Δ is the Laplacian (basically it is a reaction diffusion system.

I need to use the PDE toolbox but I cannot find an worked out example from which I can start to code my problem, and I am not able to find any example on the documentation.

Many thanks for the help

Edoardo

Answer 1

[Binaya]

Hi Edoardo

The PDE toolbox needs you to express the equations in a required format. To understand how PDE toolbox can be used to for solving the partial differential equations you can refer to the below documentation links:

1. General PDE: https://www.mathworks.com/help/pde/pde-problem-setup.html
2. PDE examples: https://www.mathworks.com/help/pde/examples.html

Hope this helps.