Help on mathieu equation needed
- To: mathgroup at smc.vnet.net
- Subject: [mg2141] Help on mathieu equation needed
- From: wall at phys.chem.ethz.ch (Ernst U. Wallenborn)
- Date: Wed, 4 Oct 1995 01:57:52 -0400
- Organization: ETH Zuerich, Phys.Chem.Inst.
I have a 2nd order nonlinear diff. equation, which looks like
d^2w
----- + (a - 2q cos 3v) w = 0 ,(0<=v<=2 Pi)
dv^2
i.e. very similar to the mathieu equation (e.g. Abramowitz&Stegun 20.1.1)
except that cos2v is replaced by cos3v. How can i solve this in Mathematica?
I tried the usual w -> w1, w' -> w2 =>
{w1[v]' == w2[v], w2[v]' == (2q cos3v - a)w1[v]}, but DSolve and NDSolve
both complain about missing initial conditions, which is no surprise,
since the only initial condition i have is that w[2 Pi]==w[0]. So the
shooting method doesn't work.
Anybody an idea how to solve this?
---
-ernst wallenborn.
i'm not a bug.
i'm an undocumented feature.