Equation implementation

[Toddy Liu]

Dear Deal.II community,

I'm getting trouble in constructing system matrix of a complex PDE. My PDE is a time-dependent equation, and in simplicity it seems like 

U is the variable, t denotes the time. D, alpha, beta are constant. So could you please give me some advice about doing this or any reference in existing dealii examples.

Thank you very much.

[Daniel Arndt]

Toddy,

I would start with thinking about the time discretization scheme you want to use and in particular which terms you want to treat explicitly and which implicitly.

After you have done that, you might still end up with a nonlinear problem in which case you should have a look at https://www.dealii.org/current/doxygen/deal.II/step_15.html and https://www.dealii.org/current/doxygen/deal.II/step_25.html.

Best,

Daniel

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[Toddy Liu]

Hi, Daniel

Thank you very much for your valuable advice and I will try with that.