Re: Imposing boundary condition at infinity

*To*: mathgroup at smc.vnet.net*Subject*: [mg102548] Re: Imposing boundary condition at infinity*From*: YH Tung <b942030053 at student.nsysu.edu.tw>*Date*: Thu, 13 Aug 2009 03:21:32 -0400 (EDT)

Dear Mathgroup: Hi, I tried this method to solve nonlinear PDEs(12/20/2005), but there are still some problems, I couldn't find the general solution. My question is du/dt = -(1+u)*du/dx,u=0 as x-> +-infinity, u=Exp(-x^2) as t=0. My code: NDSolve[{D[u[x,t], t] == -(1 + u[x, t])*D[u[x, t],x], u[-ini, t] == u[ini, t] == 0, u[x, 0] == Exp[-x^2]}, u, {x, -.0001, .0001} , {t, -.0001, .0001}, MaxSteps -> Infinity] How can I improve? Thanks Tony