On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.7, July 2016

On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative ()

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Download as PDF (Size: 332KB) PP. 1269-1274

DOI: 10.4236/jamp.2016.47133 1,588 Downloads 2,381 Views Citations

Author(s)

Tinggang Zhao, Yongjun Li

Affiliation(s)

School of Mathematics, Lanzhou City University, Lanzhou, China.

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

Share and Cite:

Zhao, T. and Li, Y. (2016) On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative. Journal of Applied Mathematics and Physics, 4, 1269-1274. doi: 10.4236/jamp.2016.47133.

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