Korporal, Anja,
Regensburger, Georg,
Rosenkranz, Markus
(2010)
*
A MAPLE package for integro-differential operators and boundary problems.
*
ACM Communications in Computer Algebra,
44
(3).
pp. 120-122.
ISSN 1932-2240.
(doi:10.1145/1940475.1940495)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:29312)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |

Official URL http://dx.doi.org/10.1145/1940475.1940495 |

## Abstract

We present a Maple package for computing in algebras of integro-differential operators. This

provides the appropriate algebraic setting for treating boundary problems [7] for linear ordinary differential equations

symbolically. They allow to formulate a boundary problem - a differential equation and boundary conditions - but

they are also expressive enough for describing its solution via an integral operator, which is called Green's operator.

Our package provides procedures for algebraic operations on integro-differential operators as well as for solving LODEs

with general boundary conditions, given a fundamental system. The implementation was tested in Maple 11, 12

and 13. It is available with an example worksheet at http://www.risc.jku.at/people/akorpora/index.html.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1145/1940475.1940495 |

Uncontrolled keywords: | Linear boundary problem, Singular Boundary Problem, Generalized Green’s operator, Green’s function, Integro-Differential Operator, Ordinary Differential Equation |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, > QA76.76 Computer software |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Markus Rosenkranz |

Date Deposited: | 19 Apr 2012 16:50 UTC |

Last Modified: | 16 Nov 2021 10:07 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/29312 (The current URI for this page, for reference purposes) |

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