A MAPLE package for integro-differential operators and boundary problems

Korporal, Anja and Regensburger, Georg and 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 . (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)

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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
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 > Applied Mathematics
Depositing User: Markus Rosenkranz
Date Deposited: 19 Apr 2012 16:50
Last Modified: 24 Apr 2014 15:30
Resource URI: https://kar.kent.ac.uk/id/eprint/29312 (The current URI for this page, for reference purposes)
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