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