NDSolve Unable to find initial conditions that satisfy the residual function

*To*: mathgroup at smc.vnet.net*Subject*: [mg116380] NDSolve Unable to find initial conditions that satisfy the residual function*From*: "Ali K. Ozdagli" <ozdagli at gmail.com>*Date*: Sat, 12 Feb 2011 05:20:44 -0500 (EST)

Hello all, When I write the following to mathematica NDSolve[{0.04*u[z, t] == -3*(D[u[z, t], z])^(1/3) + 0.02*z*D[u[z, t], z] - D[u[z, t], t], Derivative[1, 0][u][1, t] == 0, u[z, 0] == 0}, u, {z, 1, 2}, {t, 0, 1}, MaxSteps -> 10^4, AccuracyGoal -> 8, SolveDelayed -> True]; Although the solution is relatively easy, u[z,t]=0, it gives the following errors: NDSolve::ibcinc: Warning: Boundary and initial conditions are inconsistent. >> NDSolve::icfail: Unable to find initial conditions that satisfy the residual function within specified tolerances. Try giving initial conditions for both values and derivatives of the functions >> I do not see any inconsistency in the boundary conditions and don't know why mathematica cannot find a solution. Any help is appreciated. Best, Ali