I am trying to solve the equation of heat tranfer, time dependent, with particular Initial and boundary conditions but I am stuck by technical problems both in getting an analytical solution and a numerical one.
I defined a and b numerically. domain is : and I defined surf_power numerically.
The initial condition is : , T0 defined numerically
The boundary condition is : , because it has a shperical symetry.
To me, it looks like a well posed problem. Does it look fine ?
Problem in analytical solution :
It doesn't accept the boundary condition so I only input the initial condition and it actually gives me back an expression that can be evaluated but it never does : I can't reduce it more than an expression of fourier which I can't eval. The solution :
The solution calculated in (0,0). I was hoping T0...
Are you familiar with these problems ? What would be the perfect syntax you would use to solve this ?
The numerical solution problems :
Sometimes it tells me that my boundary condition is equivalent to 0 = 0, and I don't see why. Some other times it tells me I only gave 1 boundary/initial condition even if I wrote both. Here is what I wrote for example :
(because it kept asking me to add these two options : 'time' and 'range')
Are you familiar with these problems ? What would be the perfect syntax you would use to solve this ? I must at least have syntax problems because even if I keep reading the Help, it's been a long time since I used Maple.
Thank very much for any indication you could give me !