Student Support Forum: 'Is my System of PDEs solvabe with NDSolve?' topicStudent Support Forum > General > "Is my System of PDEs solvabe with NDSolve?"

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 Author Comment/Response Tim Mc 10/26/08 10:48pm I have a system of PDEs I am looking to solve using NDSolve. (This is a simple version of the system with the constants removed, I can provide the full set if need be, but the general mathematical form is the same). The text I enter into Mathematica is listed below: solution = {X, A, G, F, H} /. First[ NDSolve[ {D[X[z, t], t] + D[X[z, t], z] == (1 - 2 X[z, t])*(A[z, t] + G[z, t]) - X[z, t] + (1 - 2 X[z, t])*(F[z, t] + H[z, t]), D[A[z, t], t] + D[A[z, t], z] == -(1 - 2 X[z, t])*A[z, t] - A[z, t], D[G[z, t], t] - D[G[z, t], z] == -(1 - 2 X[z, t])*G[z, t] - G[z, t], D[F[z, t], t] D[F[z, t], z] == (2 X[z, t] - 1)*F[z, t] - F[z, t] + 2 X[z, t], D[H[z, t], t] - D[H[z, t], z] == (2 X[z, t] - 1)*H[z, t] - H[z, t] + 2 X[z, t], X[z, 0] == 0, A[0, t] == 20, G[10, t] == 20, F[0, t] == 0.1, H[10, t] == 0}, {X, A, G, F, H}, {z, 0, 10}, {t, 0, 1}]] When I enter the text I receive the following error message: 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. >> Am I doing something fundamentally wrong with my code or setup/typing or is my system of equations simply not solvable with NDSolve? If so are there any suggestions on how I might solve this? Finite Difference methods? Thanks in Advance, Tim URL: ,

 Subject (listing for 'Is my System of PDEs solvabe with NDSolve?') Author Date Posted Is my System of PDEs solvabe with NDSolve? Tim Mc 10/26/08 10:48pm Re: Is my System of PDEs solvabe with NDSolve? Littlegrass 04/23/09 10:45am
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