Multi-point Taylor approximations in one-dimensional linear boundary value problems

نویسندگان

  • José L. López
  • Ester Pérez Sinusía
  • Nico M. Temme
چکیده

We consider second order linear differential equations in a real interval I with mixed Dirichlet and Neumann boundary data. We consider a representation of its solution by a multi-point Taylor expansion. The number and location of the base points of that expansion are conveniently chosen to guarantee that the expansion is uniformly convergent ∀ x ∈ I. We propose several algorithms to approximate the multipoint Taylor polynomials of the solution based on the power series method for initial value problems. 2000 AMS Mathematics Subject Classification: 34A25, 34B05, 41A58.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 207  شماره 

صفحات  -

تاریخ انتشار 2009