intro.txt

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Tutorial on solving BVPs.

Solving Boundary Value Problems for ODEs with BVP4C. Tutorial + Examples.


This tutorial shows how to formulate, solve, and plot the solutions of 
boundary value problems (BVPs) for ordinary differential equations. 
The tutorial introduces the function BVP4C (available in MATLAB 6.0 
and later), briefly describes the numerical method used, and illustrates 
solving BVPs with several examples and exercises. 

The M-files for all the examples and exercises in the tutorial 
are available in the directory BVP_examples. 

The directory BVP_examples_65 contains the files for the examples 
and exercises, updated to take advantage of features available 
in MATLAB 6.5 (R13). Correspondingly, BVP_examples_70 contains 
files modified for use with MATLAB 7.0 (R14).

More information about solving BVPs in MATLAB, can be found in
the paper 

  Jacek Kierzenka, Lawrence F. Shampine, 
  A BVP Solver based on Residual Control and the MATLAB PSE, 
  ACM TOMS, Vol. 27 (2001), No. 3, pp. 299-316. 

or in the book

  L.F. Shampine, I. Gladwell, and S. Thompson, 
  Solving ODEs with MATLAB, Cambridge University Press, 2003.