Question about NDSolve for combined PDE and ODE
- To: mathgroup at smc.vnet.net
- Subject: [mg14551] Question about NDSolve for combined PDE and ODE
- From: Don Paddleford <don-paddleford at worldnet.att.net>
- Date: Thu, 29 Oct 1998 04:33:43 -0500
- Organization: AT&T WorldNet Services
- Sender: owner-wri-mathgroup at wolfram.com
Would/should Mathematica's NDSolve function be able to solve a PDE coupled with an ODE at the boundary? For example, a PDE (the time dependent diffusion equation) for heat transfer within a thick wall, and an ODE for the adjacent room air temperature (which would include some time dependent heat sources/sinks) when they are coupled at their common boundary by a convection heat transfer coefficient. I have seen the examples where NDSolve has been used to solve PDE with a time dependent boundary condition, and even two coupled PDE's in special cases---but haven't seen the above type problem. I have tried without any success, and would like to know whether I am not setting problem up right, or whether it is beyond NDSolve's capability. In fact, would be interested in finding any guidance as to NDSolve's capabilities/limitations for solving PDE's. Thanks Don