Using InterpolateRoot Function in Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg41125] Using InterpolateRoot Function in Mathematica
- From: "Haritha Yalamanchili" <haritha12 at attbi.com>
- Date: Sun, 4 May 2003 03:56:13 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
I am trying to use Mathematica to find a value of "L" that satisfies the
equation
Integrate[sqrt(1+z^2) dx] - L0 = 0 (Integration limits are from 0 to L)
where,
z= -2 x(L C1 - 3 C2)/L^2 - 3 x^2(-L C1 + 2 C2)/L^3
In order to find the value of L that satisfies the above equation, I have
setup the problem in Mathematica as shown below. Can some one help to verify
if the problem is setup properly of if Mathematica is capable of finding a
root for such functions.
******
f(L) = Integrate[sqrt(1+z^2) dx] - L0 (Integration limits are from 0 to L)
InterpolateRoot[ f(L),{L,0,L0} ]
*******
(L0=13, C1=0.12, C2=0.25)
Value of L is close to L0 and hence, L0 can be used as the initial guess
value.
Thank You and Best Regards
Prasad