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Articles
  • OpenAccess
  • On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative  [ICPDE 2016]
  • DOI: 10.4236/jamp.2016.47133   PP.1269 - 1274
  • Author(s)
  • Tinggang Zhao, Yongjun Li
  • ABSTRACT
  • In this paper, we consider two interpolations of Birkhoff-type with integer-order derivative. The Birkhoff interpolation is related with collocation method for the corresponding initial or boundary value problems of differential equations. The solvability of the interpolation problems is proved. For Gauss-type interpolating points, error of interpolation approximation is deduced. Also, we give efficient algorithms to implement the concerned interpolations.
  • KEYWORDS
  • Birkhoff Interpolation, Collocation Method, Gauss-Type Interpolating Point, Error Estimation
  • References
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