2011 | OriginalPaper | Buchkapitel
Regular and Singular Boundary Problems in Maple
verfasst von : Anja Korporal, Georg Regensburger, Markus Rosenkranz
Erschienen in: Computer Algebra in Scientific Computing
Verlag: Springer Berlin Heidelberg
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We describe a new
maple
package for treating boundary problems for linear ordinary differential equations, allowing two-/multi-point 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.