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Condition on Inside of Region

Posted 8 years ago
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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 ...

POSTED BY: Jeiveison Maia
2 Replies

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 !

POSTED BY: Jeiveison Maia

Hi,

this appears to be in essence a repost of

http://community.wolfram.com/groups/-/m/t/548430

slightly different equations. Similar problem.

Cheers,

Marco

POSTED BY: Marco Thiel
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