How can I solve a general elliptic partial differential equation with Drichlet boundary conditions?

I have an equation with known functions f, g and h shown above. My BC is:

Is there any pdetool solution or any numerical method in MATLAB?

Answer 1

[Kartik Saxena]

Hi,

I understand that you want to solve a general elliptic partial differential equation with Drichlet boundary conditions.

In MATLAB, you can solve a general elliptic partial differential equation (PDE) with Dirichlet boundary conditions using the Partial Differential Equation Toolbox. This toolbox provides functionality for defining and solving PDEs numerically.

For more detailed information and advanced options, please refer to the MATLAB documentation for the PDE Toolbox:

• PDE Toolbox Documentation: https://www.mathworks.com/help/pde/index.html
• createpde: https://www.mathworks.com/help/pde/ug/createpde.html
• pdeplot: https://www.mathworks.com/help/pde/ug/pdeplot.html

I hope this resolves your issue.