Rosenkranz, Markus,
Liu, Jane,
Maletzky, Alexander,
Buchberger, Bruno
(2015)
*
Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates.
*
In: Gerdt, Vladimir P. and Koepf, Wolfram and Seiler, Werner and Vorozhtsov, Evgenii V., eds.
Proceedings of the 17th International Workshop, CASC 2015.
Computer Algebra in Scientific Computing.
Lecture Notes in Computer Science
, 9301.
pp. 406-423.
Springer, Berlin
ISBN 978-3-319-24020-6.
E-ISBN 978-3-319-24021-3.
(doi:10.1007/978-3-319-24021-3_30)
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Official URL http://dx.doi.org/10.1007/978-3-319-24021-3_30 |

## Abstract

We develop a new theory for treating boundary problems for linear ordinary differential equations whose fundamental system may have a singularity at one of the two endpoints of the given interval. Our treatment follows an algebraic approach, with (partial) implementation in the Theorema software system (which is based on Mathematica). We study an application to graded Kirchhoff plates for illustrating a typical case of such boundary problems.

Item Type: | Conference or workshop item (Paper) |
---|---|

DOI/Identification number: | 10.1007/978-3-319-24021-3_30 |

Uncontrolled keywords: | Singular boundary problems, Green's functions, integro-differential operators, Kirchhoff plates, functionally graded materials |

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 > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Markus Rosenkranz |

Date Deposited: | 16 Jun 2015 08:15 UTC |

Last Modified: | 29 May 2019 14:42 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/49025 (The current URI for this page, for reference purposes) |

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