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 .
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We present a Maple package for computing in algebras of integro-differential operators. This provides the appropriate algebraic setting for treating boundary problems  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.
|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:||M.G. Rosenkranz|
|Date Deposited:||19 Apr 2012 16:50|
|Last Modified:||20 Apr 2012 08:40|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/29312 (The current URI for this page, for reference purposes)|
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