Re: Question: numerical solution of nonlinear differential equation

• To: mathgroup at smc.vnet.net
• Subject: [mg26415] Re: Question: numerical solution of nonlinear differential equation
• From: Alois Steindl <Alois.Steindl+e325 at tuwien.ac.at>
• Date: Wed, 20 Dec 2000 00:21:38 -0500 (EST)
• Organization: Inst. f. Mechanics II, TU Vienna
• References: <91f7n8\$556@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hello,
Ronald Sastrawan <sastra at fmf.uni-freiburg.de> writes:

> Hello !
>
> I encountered a problem, trying to numerically solve a differential
> equation.
> My equation looks like:
>
> A y''[x] - B y[x]' + C Exp[-Dx] == 0
> with boundary conditions: y'[0]==0 , y'[E]==0
>
> All constants A to E are known.
>
3 Remarks:
y[x]' should probably be typed as y'[x],

your BVP is singular, since it doesn't depend on y[x] at all, only
on y'[x]: So by converting it to a 1st order system by
u = y'
you obtain an overdetermined boundary value problem for the first
order system
a u' - b u + f(x) == 0
u(0) ==0,
u(e) ==0.
and no BC at all for u.

The problem could be solved analytically.

Good luck
Alois

```

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