TITLE:
On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative
AUTHORS:
Tinggang Zhao, Yongjun Li
KEYWORDS:
Birkhoff Interpolation, Collocation Method, Gauss-Type Interpolating Point, Error Estimation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.7,
July
25,
2016
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.