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Re: Working on bvp4c


From: lakerluke
Subject: Re: Working on bvp4c
Date: Sat, 20 Aug 2016 09:43:32 -0700 (PDT)

Thanks Bill, that is very useful.

I have another silly question to ask. I'm failing to understand a
fundamental element related to implementing bvp4c from the Shampine paper. 

We form the system [4.1] (pg. 6) by applying the Simpson method to the
original system. We then proceed to solve this by use of Newton's method to
find the roots of the system [4.1]. This leads to an iterative method where
we use the value of the solution at the boundary to form an approximation to
the solution at the next value of the mesh.

I have written this up on some paper to hopefully better explain my
question. If someone could correct my understanding, that would be much
appreciated.

<http://octave.1599824.n4.nabble.com/file/n4679349/bvp4c_issue1.jpg> 

Best regards,

Luke



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