NDLI: Algorithm 927: The MATLAB Code bvptwp.m for the Numerical Solution of Two Point Boundary Value Problems

Content Provider	ACM Digital Library
Author	Hollevoet, D. Nagy, A. M. Mazzia, F. Cash, J. R.
Copyright Year	2013
Abstract	In this article we describe the code bvptwp.m, a MATLAB code for the solution of two point boundary value problems. This code is based on the well-known Fortran codes, twpbvp.f, twpbvpl.f and acdc.f, that employ a mesh selection strategy based on the estimation of the local error, and on revisions of these codes, called twpbvpc.f, twpbvplc.f and acdcc.f, that employ a mesh selection strategy based on the estimation of the local error and the estimation of two parameters which characterize the conditioning of the problem. The codes twpbvp.f/tpbvpc.f use a deferred correction scheme based on Mono-Implicit Runge-Kutta methods (MIRK); the other codes use a deferred correction scheme based on Lobatto formulas. The acdc.f/acdcc.f codes implement an automatic continuation strategy. The performance and features of the new solver are checked by performing some numerical tests to show that the new code is robust and able to solve very difficult singularly perturbed problems. The results obtained show that bvptwp.m is often able to solve problems requiring stringent accuracies and problems with very sharp changes in the solution. This code, coupled with the existing boundary value codes such as bvp4c.m, makes the MATLAB BVP section an extremely powerful one for a very wide range of problems.
Starting Page	1
Ending Page	12
Page Count	12
File Format	PDF
ISSN	00983500
e-ISSN	15577295
DOI	10.1145/2427023.2427032
Volume Number	39
Issue Number	2
Journal	ACM Transactions on Mathematical Software (TOMS)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2013-02-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Automatic Continuation Boundary Value Problems Conditioning Deferred Correction Mesh selection
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Software

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Algorithm 927: The MATLAB Code bvptwp.m for the Numerical Solution of Two Point Boundary Value Problems