Abstract
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.
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Korporal, A., Regensburger, G., Rosenkranz, M. (2011). Regular and Singular Boundary Problems in Maple. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2011. Lecture Notes in Computer Science, vol 6885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23568-9_22
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DOI: https://doi.org/10.1007/978-3-642-23568-9_22
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