# Thread: stationary solution for u(x,t)=v(x,t)+h(x) for heat PDE with BC of U1

1. ## stationary solution for u(x,t)=v(x,t)+h(x) for heat PDE with BC of U1

what is the meaning of stationary solution $h(x)$ and how can I find it for this equation $u(x,t) =v(x,t) +h(x)$ for heat PDE with BC of $U1$, can you explain in details?

2. That appears to be an entire chapter of a textbook. You'll have to narrow the question a bit. Provide examples and show your work.

3. Originally Posted by aows61
what is the meaning of stationary solution $h(x)$ and how can I find it for this equation $u(x,t) =v(x,t) +h(x)$ for heat PDE with BC of $U1$, can you explain in details?
at t = ∞ → u = h and v = 0

4. Well, OK. Some chapters are shorter than others.

5. ## fourier

i have 1-D heat PDE, and am required to solve it using Finite fourier cosine transform (FFCT), and one of the B.C equals $U_1$ , and someone said that you need to use stationary solution..

6. ## my attempt

here is the complete problem along with the needed formulas and my attempt, as in the link below:
https://www.freemathhelp.com/forum/t...009#post416009