Opuscula Math. 34, no. 2 (2014), 387-403
Solving boundary value problems in the open source software R: package bvpSolve
Francesca Mazzia
Jeff R. Cash
Karline Soetaert
Abstract.
The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project. It includes some well known codes to solve boundary value problems of ordinary differential equations (ODEs) and differential algebraic equations (DAEs). In addition to the packages already available for solving initial value problems, the new package now allows non expert users to efficiently solve boundary value problems in the problem solving environment R.
Keywords:
ordinary differential equations, boundary value problems, singular perturbation problems, test problems, R, Fortran.
Mathematics Subject Classification:
65L04, 65L05, 65L80.
About the authors ▼
Francesca Mazzia
Università degli Studi di Bari, Dipartimento di Matematica, Via Orabona 4, 70125 Bari, Italy
Jeff R. Cash
Imperial College London, South Kensington Campus, Department of Mathematics, London SW7 2AZ, United Kingdom
Karline Soetaert
Royal Netherlands Institute of Sea Research (NIOZ), 4401 NT Yerseke, The Netherlands
About the article ▼
Received: 2013-10-04.
Accepted: 2013-11-21.
Cite this article as ▼
Francesca Mazzia, Jeff R. Cash, Karline Soetaert, Solving boundary value problems in the open source software R: package bvpSolve, Opuscula Math. 34, no. 2 (2014), 387-403,
http://dx.doi.org/10.7494/OpMath.2014.34.2.387.
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