NonLinear ODE BVP
- To: mathgroup at smc.vnet.net
- Subject: [mg6189] NonLinear ODE BVP
- From: j-hochstein at memphis.edu (John Hochstein)
- Date: Thu, 27 Feb 1997 02:53:12 -0500
- Organization: The University of Memphis
- Sender: owner-wri-mathgroup at wolfram.com
I would like to know if Mathematica can solve a nonlinear ODE Boundary Value Problem that arose from a physical model. It is a 2nd order equation with values for the 1st derivatives at both boundaries AND an unknown value for the 2nd derivative evaluated at one of the boundaries as a term in the equation itself. I have obtained solutions in the past using a shooting procedure: guess a value for the 2nd, use RK4 to march solution from one boundary to the other, then iterate until value for 2nd derivative produces correct boundary value at the far end. I have no hope of an analytic solution. I would like to know if Mathematic 2.2 or 3.0 has numerical tools that can handle this problem. Thanks ... I appreciate the help. John Hochstein _____________________________________________________________________ John Hochstein j-hochstein at memphis.edu The University of Memphis 901/678.2257 (TEL) Mechanical Engineering 901/678.5459 (FAX) Campus Box 526576 http://www.me.memphis.edu/ Memphis, TN 38152-6576 _____________________________________________________________________