How do I write $sin(pi*x)*sin(pi*y)?

I tried to solve on and on the boundary.

I get error when I write . Can anyone help in the following code?

model = createpde;
g = geometryFromEdges(model,@squareg);
pdegplot(model)
pdegplot(model,'EdgeLabels','on'); 
axis equal
applyBoundaryCondition(model,'dirichlet','Edge',1:model.Geometry.NumEdges,'u',0);
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f',sin(pi*x)*sin(pi*x)); 

Answer 1

[Harshavardhan]

Hi @kaps

The error you're facing is likely related to how the source term “f” is defined in the “specifyCoefficients” function. In MATLAB's PDE Toolbox, “f” should be specified as a function handle that accepts the location and state structures, even if you only need the “x” and “y” coordinates.

Here's a modification to your code to resolve the issue:

% Define the coefficients for the PDE 
specifyCoefficients(model,'m',0,'d',0,'c',1,'a',0,'f', @(location, state) sin(pi*location.x).* sin(pi*location.y)); 

For more details on “specifyCoefficients”, you can enter the following command in the MATLAB command window:

doc specifyCoefficients

Hope this helps.