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Math Help - What is the solution of PDE given below?

  1. #1
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    Exclamation What is the solution of PDE given below?



    From the above figure,

    ∇.(∇∅)=0

    i.e.

    Given boundary conditions:
    \displaystyle \frac{\partial \varphi}{\partial n} = 0 (normal direction)


    \varphi=0 at grounded electrode
    \varphi=\varphi( t) at upper electrode


    Now how can I solve?

    I have tried as follows using separation of variable-

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  2. #2
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    Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w
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  3. #3
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    Quote Originally Posted by bdcrown007 View Post
    Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w
    Don't bump unless you have relevant information or work to contribute to problem. Someone will get to it when they can.
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  4. #4
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    ok, thank you
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