Regular and Singular Boundary Problems in Maple

نویسندگان

  • Anja Korporal
  • Georg Regensburger
  • Markus Rosenkranz
چکیده

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.

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تاریخ انتشار 2011