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I need to solve the heat equation (U_{t}=C*U_{zz}) with the following boundary conditions: U(max z,t)=0 and U_{z}(0,t)=-B. where B is a constant. My initial condition is U(z,0)=U_{o}where U_{o}is a constant.

I know how to solve the equation for simple 0 boundary conditions. The Neumann BC is especially giving me problems. If anybody knows how to solve this, or can give me a resource to solve this, it would be appreciated.

Thanks

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# Heat Equation- Constant Dirichlet and Neumann BCs

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