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Thread: Solving a differential equation with Neumann boundary condition

  1. #1
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    Question Solving a differential equation with Neumann boundary condition

    How to solve
    $$\frac{\partial u}{\partial t} = \kappa \frac{\partial^2 u}{\partial x^2}$$
    with the boundary conditions of
    $$u(x,t) = \begin{cases} 0, & x=l \\ 0, & x=0, t=0 \\ A, & x=0, t>0 \end{cases}$$

    And one more question: is the third condition is still considered Newumann or it is Dirichlet?
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  2. #2
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    Re: Solving a differential equation with Neumann boundary condition

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