akoaysigod
Junior Member
- Joined
- Oct 5, 2009
- Messages
- 65
It's been a while since I've needed help with my classes but it turns out math can be quite difficult. Anyway, this problem isn't too hard I'm just having some difficulty understanding some terms.
I have to solve the diffusion equation
with initial conditions u(x,0)=x^2 by first showing that d^3u/dx^3
satisfies the equation with zero initial condition. What is meant by "zero initial condition? I tried looking it up in my book and on google but I didn't really find anything helpful. I'm assuming it has to do with the next part that, by uniqueness that partial derivative equals 0. How do I explain this? The last part of this problem tells you to integrate this 3 times and then solve for the functions of t but that is pretty straight forward. Any help would be greatly appreciated.
I have to solve the diffusion equation
with initial conditions u(x,0)=x^2 by first showing that d^3u/dx^3
satisfies the equation with zero initial condition. What is meant by "zero initial condition? I tried looking it up in my book and on google but I didn't really find anything helpful. I'm assuming it has to do with the next part that, by uniqueness that partial derivative equals 0. How do I explain this? The last part of this problem tells you to integrate this 3 times and then solve for the functions of t but that is pretty straight forward. Any help would be greatly appreciated.