Korporal, Anja and Regensburger, Georg and Rosenkranz, Markus
(2011)
*
Regular and singular boundary problems in Maple.
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In: Gerdt, V.P. and Koepf, W. and Mayr, E.W. and Vorozhtsov, E.V., eds.
Proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing (CASC'11).
Lecture Notes in Computer Science, 6885
.
Springer, Berlin, pp. 280-293.
ISBN 978-3-642-23567-2 .
(doi:10.1007/978-3-642-23568-9_22)
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Official URL http://dx.doi.org/10.1007/978-3-642-23568-9_22 |

## Abstract

We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For expressing differential operators, boundary conditions, and Green's operators, we employ the algebra of integro-differential operators. The operations implemented for regular boundary problems include computing Green's operators as well as composing and factoring boundary problems. Our symbolic approach to singular boundary problems is new; it provides algorithms for computing compatibility conditions and generalized Green's operators.

Item Type: | Book section |
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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: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Markus Rosenkranz |

Date Deposited: | 03 Apr 2012 15:06 |

Last Modified: | 04 Apr 2012 08:11 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/29248 (The current URI for this page, for reference purposes) |

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