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 .
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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|
|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
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
|Depositing User:||M.G. Rosenkranz|
|Date Deposited:||03 Apr 2012 15:06|
|Last Modified:||04 Apr 2012 08:11|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/29248 (The current URI for this page, for reference purposes)|
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