Results appear wrong for implementation of symmetric boundary conditions and initial conditions

It’s not clear to anyone what you are trying to do and what you would expect to see. You need to provide more information on the problem you are trying to solve and what boundary conditions you are trying to implement. There is not enough information here for someone to help you. One place to start might be here

I would suggest simplifying your problem and clearly writing out (in math) what you are trying to do.

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