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Heat equation, initial and boundary numerical conditions

  1. Jan 22, 2008 #1

    LMZ

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    Hello to all!
    1. The problem statement, all variables and given/known data
    for testing my program i need a heat equation with numerical initial and boundary conditions:
    Derivative[2, 0][f][x, t] == Derivative[0, 1][f][x, t]

    f[x, 0] == numerical
    f[0, t] == numerical, f[numerical, t] == numerical


    PS. to moders: please, if you delete my message, PM me what I've done wrong, thanks!
     
  2. jcsd
  3. Jan 22, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    It's not clear what you are asking. You know what the heat equation is, I presume. Why can't you just make up arbitrary initial and boundary values yourself?
     
  4. Jan 22, 2008 #3

    LMZ

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    yeap! i think i know what is heat equation: http://en.wikipedia.org/wiki/Heat_equation#Solving_the_heat_equation_using_Fourier_series

    for example if i put these:
    Code (Text):
    init = f[x, 0] == 1
    bc = {f[0, t] == 0, f[1, t] == 0}
    in mathematica i got this warning:
    A warning is generated in this example because the initial conditions and boundary conditions give two different values for the value of f[0,0].

    that's why i need correct example!
     
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