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Is this PDE linear or non-linear?

  1. Mar 14, 2013 #1
    hello, guys
    Below is the equation I am concerned with:

    b494d7727c7a.png

    Is the above equation non-linear because of (delta P/delta x)^2 term assuming other variables are constant and don't change with pressure , P?
     
  2. jcsd
  3. Mar 14, 2013 #2

    HallsofIvy

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    It is non-linear because of, as you say, that [itex]\left[\partial p/\partial x\right]^2[/itex]
     
  4. Mar 14, 2013 #3
    Ok.
    What kind of method can you suggest to deal with [∂p/∂x] 2 ?

    I am gonna convert the above equation to ODE by method of lines in Matlab. I guess that non-linear terms require special approach.
     
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