Hi everyone,

I hope you all had a great summer!

My name is Zoe, and I am new to deal.II. I’m currently working on a project 
where I need to solve a non-linear PDE using semi-implicit time-stepping 
with the Finite Element Method (FEM). I would like to use deal.II for this 
purpose.

PDE:

[image: Screenshot 2024-09-26 at 16.51.14.png]

semi-implicit:

[image: Screenshot 2024-09-26 at 16.51.26.png]

After going through step-26, I’ve learned how to implement time-stepping 
using the theta-scheme. However, I’m struggling to adapt the existing code 
to incorporate semi-implicit time-stepping and non-linear parts for my 
problem. 

Could anyone provide guidance on how to modify step-26 or suggest 
alternative steps/examples that might be more suitable for this type of 
problem?

I would greatly appreciate any suggestions or references to relevant 
examples within the deal.II documentation or tutorials.

Thank you very much for your time and assistance!

Best regards,

Zoe

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