Regular and Singular Boundary Problems in Maple
Symbolic Computation
2012-10-11 v1 Mathematical Software
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.
Keywords
Cite
@article{arxiv.1210.2951,
title = {Regular and Singular Boundary Problems in Maple},
author = {Anja Korporal and Georg Regensburger and Markus Rosenkranz},
journal= {arXiv preprint arXiv:1210.2951},
year = {2012}
}
Comments
14 pages; Berlin/Heidelberg, Springer