Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates

Rosenkranz, Markus and Liu, Jane and Maletzky, Alexander and 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 on Computer Algebra in Scientific Computing (CASC'15). Lecture Notes in Computer Science, 9301. Springer, Berlin pp. 406-423. ISBN 978-3-319-24020-6. E-ISBN 978-3-319-24021-3. (doi:https://doi.org/10.1007/978-3-319-24021-3_30) (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)

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. (Contact us about this Publication)
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)
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: 26 Jan 2017 15:21 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/49025 (The current URI for this page, for reference purposes)
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