- #1

Arkuski

- 40

- 0

PDE: [itex]u_{t}=α^{2}u_{xx}[/itex] [itex]0<x<1[/itex] [itex]0<t<∞[/itex]

BCs: [itex]u(0,t)=0, u_{x}(1,t)=1[/itex] [itex]0<t<∞[/itex]

IC: [itex]u(x,0)=sin(πx)[/itex] [itex]0≤x≤1[/itex]

It appears as though the BCs and the IC do not match. The derivative of temperature with respect to x at position x=1 is a constant 1 while with the initial condition, the derivative is equal to -π. Do I conclude that the problem is incorrect or is there another way to reconcile this error?