NDSolve: Functions in PDEs have different number of variables

*To*: mathgroup at smc.vnet.net*Subject*: [mg99612] NDSolve: Functions in PDEs have different number of variables*From*: Blue Fly <blueflyspin at gmail.com>*Date*: Sat, 9 May 2009 03:21:20 -0400 (EDT)

Dear Mathgroup: I recently asked a question about solving a set of PDEs. My question could be abstracted as the follows: Two functions, F[x, t] and G[t], satisfy a set of PDEs of two equations: Equation one involves D[F[x, t], x], D[F[x, t], t], and G[t]; while Equation two involves F[0, t] and D[G[t], t]. When solving the set of PDEs, NDSolve complains that F[x, t] and G[t] have different number of variables, even though the problem is physically well-defined. I would appreciate if someone could provide a hint on this questions. Thanks. Dave