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JohnRudnicki15-Moonstone
15-Moonstone
Aug 21, 2023 2:29 PM UTC
Solved

OdeSolve for 2 point BVP

I am trying to solve a two point boundary value problem. Instead of three initial conditions for the problem, I am giving the value at the end of the solution interval. Can I use odesolve? My initial attempt (below and in attached worksheet) was not successful. If not what else? I have not solved this type of problem before. I know "shooting methods" are one possible approach, but I do not know how to set this up in MC. Any help would be appreciated. FYI I am using MC14, but saved the sheet as MC 11.  Thanks.

 

JohnRudnicki_0-1692628081565.png

 

rgunwaldsenAnswer
15-Moonstone
Aug 21, 2023 3:30 PM UTC

You might consider the attached PDF article from Dr. Tom Co 11/3/2008. Mathcad 15 and Prime 8 worksheets attached.

 

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9 replies

rgunwaldsen15-MoonstoneAnswer
15-Moonstone
Aug 21, 2023 3:30 PM UTC

You might consider the attached PDF article from Dr. Tom Co 11/3/2008. Mathcad 15 and Prime 8 worksheets attached.

 

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    rgunwaldsen15-Moonstone
    15-Moonstone
    Aug 21, 2023 5:41 PM UTC

    Here's another approach using Laplace transforms. I think original content is courtesy of Luc Meekes.

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    JohnRudnicki15-MoonstoneAuthor
    15-Moonstone
    Aug 21, 2023 5:45 PM UTC

    Thanks. I will take a look.

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    LucMeekes23-Emerald V
    23-Emerald V
    Aug 21, 2023 9:55 PM UTC

    I had to rewrite the differential equations, or Mathcad 11 would not understand. (It seems it likes the highest order differential on the LHS better).

    Then a little experimenting gives:

    LucMeekes_0-1692654855989.png

    LucMeekes_1-1692654874781.png

    Is that close enough for you?

     

    Success!
    Luc

     

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      JohnRudnicki15-MoonstoneAuthor
      15-Moonstone
      Aug 22, 2023 3:28 AM UTC

      Yes! Nice. Thanks. John

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