Solve the boundary-value problem k 02 u 0x 2 0u 0t , 0 , x , 1, t . 0 u(0, t) 0, 0u 0x 2
Chapter 13, Problem 2(choose chapter or problem)
Solve the boundary-value problem
\(k \frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial u}{\partial t}\), 0<x<1, t>0
u(0, t)=0, \(\left.\frac{\partial u}{\partial x}\right|_{x=1}=-h\left(u(1, t)-u_{0}\right)\), h>0, t>0
u(x, 0)=f(x), 0<x<1
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