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Re: Help: boundary value problem

  • To: mathgroup at
  • Subject: [mg21268] Re: Help: boundary value problem
  • From: "Artyom Shneyerov" <a-shneyerov at>
  • Date: Tue, 21 Dec 1999 03:46:50 -0500 (EST)
  • Organization: Northwestern University, Evanston, IL, US
  • References: <831thk$>
  • Sender: owner-wri-mathgroup at

Marco de Innocentis <mdi11 at> wrote in message
news:831thk$fkh at
> I need to solve a nonlinear ordinary second-order differential
> equation on a closed interval, knowing the value of the solution at
> the ends of the interval.  Is there a way of solving this problem
> using Mathematica, or does Mathematica only deal with initial value
> problems?
> If the latter, is there some function which performs the shooting
> method, so I can transform the boundary value into an initial value
> problem?
> Thanks,
> Marco de Innocentis

Try along these lines if an approximation is OK:

func=y/.NDSolve[{y''[x] + x y[x] == 0, y[0] == 1, y[1] == -1},
     y, {x, 0, 1}][[1]]

func can then be used as a ususal function.

Artyom Shenyerov

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