- #1
santhoo24
- 3
- 0
Hi all,
I am Santosh, a grad student at FSU. I am trying to solve a system of 1-D pde's using finite difference scheme.
Here's a brief description of my boundary conditions:
Let my variables be S, T, V, & W, and k1, k2, k3, k4, k5, a, b, and c are constants. At x = 1,dA/dX = Ra,
where A = S, T, V, W, and Ra = k1/{k2 + (k3/T^a) + (k4/S^b) + (k5/V^c)}
Previously, I had a no-flux boundary conditions, which I could solve using the BTCS technique. Now, my boundary conditions are a non-linear function of the variables. I have a a term similar to Ra as a source term. I solve the Laplacian part first and use the solution to solve the source term by forward Euler technique.
But with the non-linear term in the BC, I am confused as to how I can implement the BC. I was wondering if someone can help me in this regard. Any suggestion s including a different technique are much appreciated.
Thanks.
Warm regards,
DSK.
I am Santosh, a grad student at FSU. I am trying to solve a system of 1-D pde's using finite difference scheme.
Here's a brief description of my boundary conditions:
Let my variables be S, T, V, & W, and k1, k2, k3, k4, k5, a, b, and c are constants. At x = 1,dA/dX = Ra,
where A = S, T, V, W, and Ra = k1/{k2 + (k3/T^a) + (k4/S^b) + (k5/V^c)}
Previously, I had a no-flux boundary conditions, which I could solve using the BTCS technique. Now, my boundary conditions are a non-linear function of the variables. I have a a term similar to Ra as a source term. I solve the Laplacian part first and use the solution to solve the source term by forward Euler technique.
But with the non-linear term in the BC, I am confused as to how I can implement the BC. I was wondering if someone can help me in this regard. Any suggestion s including a different technique are much appreciated.
Thanks.
Warm regards,
DSK.