# A Replacing a non-harmonic function with a harmonic function

#### shahab44

Summary
replacing a non-harmonic function with a harmonic function
I am solving a problem of the boundary condition of Dirichlet type, in order to solve the problem, the functions within the differential equations suppose to be harmonic.

I have a function f(x,y,z) (the function attached) which is not harmonic. I must find an equivalent function g(x,y,z) which shall its Laplacian to be zero and at the boundary which is x=0 to be equal to f(x,y,z) "i.e f(0,y,z)=g(0,y,z)"

I have been trying with Mathematica for almost a week but just by trail, which is not a clever way. I am wondering if there is a way to do it.

thanks

#### Attachments

• 8 KB Views: 71
Last edited by a moderator:
Related Differential Equations News on Phys.org

"Replacing a non-harmonic function with a harmonic function"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving