NDSolve error for partial DV
- To: mathgroup at smc.vnet.net
- Subject: [mg107714] NDSolve error for partial DV
- From: Menl <szegersnl at gmail.com>
- Date: Wed, 24 Feb 2010 06:19:58 -0500 (EST)
I try to numerically solve a set of 2 DV containing two functions depending on two variables x and t. x represents the position and t represents time. I have defined several boundary conditions ( for x) and one initial condition ( for t) However I receive an error from Mathematica so there is obviously some error. The error is : NDSolve::ivone: "Boundary values may only be specified for one independent variable. Initial values may only be specified at one value of the other independent variable." The code is as follows: sw7t = NDSolve[{Bs (D[g[x, t], {x, 2}] - D[w[x, t], {x, 3}]) - A g[x, t] == 0 //. vars, A D[g[x, t], {x, 1}] - (Bbot + Btop) D[w[x, t], {x, 4}] - \[Mu] D[ w[x, t], {t, 2}] == 0 //. vars, w[0, t] == 0, w[3, t] == 0, D [w[x, t], {x, 2}] == 0 //. x -> 0, D [w[x, t], {x, 2}] == 0 //. x -> 3, D [w[x, t], {t, 1}] == 0 //. {t -> 0}, D [g[x, t], {x, 1}] == 0 //. x -> 0, D [g[x, t], {x, 1}] == 0 //. x -> 3}, {w , g}, {x, 0, 3}, {t, 0, 10}] Here the constants used are contained in vars and assigned code. If someone knows where the mistake I would very much like to know. Thanx in advance M.