nonlinear time dependent PDE
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Does anybody know how to solve the following nonlinear time dependent PDE?
Du/Dt+(u*Du/Dx)^2+(u^3)*D^2(u)/Dx^2+u^3;
initial condition:
u0=0
boundary conditions:
at x=0 ==> Du/Dx=10;
at x=1==> Du/Dx=0;
Any help or suggestions would be appreciated
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