       Re: Version problem with FindRoot

• To: mathgroup at smc.vnet.net
• Subject: [mg97190] Re: Version problem with FindRoot
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Sat, 7 Mar 2009 02:41:30 -0500 (EST)
• Organization: Uni Leipzig
• References: <goqug8\$ng0\$1@smc.vnet.net>

```Hi,

system[x_?NumericQ] = {2 w'[n] + f[n]*w[n] == 0, w[n] == v'[n],
v[n] == f'[n], w == x, v == 0, f == 0};

gun[x_?NumericQ] := (soln =
NDSolve[system[x], {w, v, f}, {n, 0, 10}])[[1, 2, 2]][10.]

FindRoot[gun[x] == 1, {x, 1, .5}]

work fine.

Regards
Jens

Dr. Robert Kragler wrote:
> Hi,
>
> according to a short note of Alan Hayes, TJM Vol.3, issue 3 (1993 ! )
> there is a 3-liner given for solving boundary problems of ODEs with the=

> help of the so-called shooting method. The subsequent program
>
>     system[x_]={2 w'[n]+f[n]* w[n]==0,w[n]==v'[n],v[n]==f=
'[n],w==x
> ,v==0,f==0 }
>
>   gun:=(soln=NDSolve[system[#],{w,v,f},{n,0,10}])[[1,2,2]][10.]&
>
>   FindRoot[gun[x]==1,{x,1,.5}]  (* should give x->0.332058 *)
>
> works with earlier Mathematica versions 3.0, 4.2 but NOT for 5.2 (which=

> I am currently still using in order to finish a manuscript before I wil=
l
> adapt this to version 7.0). In Mathematica version 6.0 and 7.0 FindRoot=

> will work again if the following (version 6 ) system option is used :
>
>   SetSystemOptions["EvaluateNumericalFunctionArgument"->False]
>
> There is no problem to plot the function gun[x]with Plot[gun[x],{x,0,1}=
]
> in Mathematica.
> However, in Mathematica version 5.2 FindRoot gives rise to the followin=
g
> (error) message :
>
> NDSolve::"ndinnt": "Initial condition x is not a number or a rectangula=
r
> array of numbers."
>
> FindRoot::nlnum : The function value {-1.+v?[n][10.`] is not a list of
> numbers with
> dimensions {1} at {x} = {1.`}.}
>
> Does anybody have an idea what to do in the case of version 5.2 ? Thank=
s
> for any suggestion.
>
> Robert Kragler
>
> email:   kragler at hs-weingarten.de
>
>
>

```

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