jeiveison
August 19, 2015, 7:01pm
1
How do I handle boundary conditions present in the region . Mathematica complains about the condition v [1 , t ] == u [1,t]. The condition should be given to this point!
NDSolve[{
D[u[x, t], t] + D[u[x, t], x] == -u[x, t],
D[v[x, t], t] + D[v[x, t], x] == -v[x, t],
u[x, 0] == E^-x,
v[x, 0] == E^(1 - x),
u[0, t] == 1,
v[1, t] == u[1, t]
},
{u[x, t], v[x, t]},
{x, 0, 2},
{t, 0, 5}]
Many thanks for any help …
mthiel
August 19, 2015, 7:18pm
2
Hi,
this appears to be in essence a repost of
I'm having the following issue that can not find a solution , by using this boundary condition v[0, t] == u[1, t] that Mathematica does not understand, someone please help me!
NDSolve[{
D[u[x, t], t] == D[u[x, t], x, x] - u[x, t],
D[v[x, t], t] == D[v[x, t], x, x] - v[x, t],
u[x, 0] == 1,
v[x, 0] == 1,
u[0, t] == 1,
Derivative[1, 0][u][1, t] == 0,
v[0, t] == u[1, t],
Derivative[1, 0][v][1, t] == 0
},
{u[x, t], v[x, t…
slightly different equations. Similar problem.
Cheers,
Marco
jeiveison
August 19, 2015, 7:30pm
3
Truth is not in the SAME , thanks for watching , but the domain and distinguished and STILL have not a satisfactory answer. I appreciate any help !