The Mathematical Institute, University of Oxford, Eprints Archive

A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine

Hale, Nicholas and Moore, Daniel R. (2008) A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine. Technical Report. Unspecified. (Submitted)

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Abstract

A new two-point boundary value problem algorithm based upon the MATLAB bvp4c package of Kierzenka and Shampine is described. The algorithm, implemented in a new package bvp6c, uses the residual control framework of bvp4c (suitably modified for a more accurate finite difference approximation) to maintain a user specified accuracy. The new package is demonstrated to be as robust as the existing software, but more efficient for most problems, requiring fewer internal mesh points and evaluations to achieve the required accuracy.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1076
Deposited By:Lotti Ekert
Deposited On:06 May 2011 08:23
Last Modified:06 May 2011 08:23

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