Regular and singular boundary problems in Maple

Korporal, Anja and Regensburger, Georg and Rosenkranz, Markus (2011) Regular and singular boundary problems in Maple. 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) (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:29248)

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/10.1007/978-3-642-23568-9_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
DOI/Identification number:	10.1007/978-3-642-23568-9_22
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:	03 Apr 2012 15:06 UTC
Last Modified:	16 Nov 2021 10:07 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/29248 (The current URI for this page, for reference purposes)

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