Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node

FENG Tian-xiang

Volume 18 Issue 2

Apr. 2005

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Article Contents

Journal of Southwest Jiaotong University > 2005 > 18(2): 273-277.

FENG Tian-xiang. Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node[J]. Journal of Southwest Jiaotong University, 2005, 18(2): 273-277.

Citation:

FENG Tian-xiang. Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node[J]. Journal of Southwest Jiaotong University, 2005, 18(2): 273-277.

FENG Tian-xiang. Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node[J]. Journal of Southwest Jiaotong University, 2005, 18(2): 273-277.

Citation:

FENG Tian-xiang. Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node[J]. Journal of Southwest Jiaotong University, 2005, 18(2): 273-277.

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Solving Herm ite Interpolation Functionswith theM ethod ofDivided Difference at the Same Node

FENG Tian-xiang

Publish Date: 25 Apr 2005

Abstract

Abstract

To solve cubic-Hermite interpolation functions, the method of divided difference at same nodewas used, and the result similar toNewton s interpolation function was obtained. The proposed method ismuch simpler comparedwith Lagrange interpolationwith base function. An error formula for cubic-Hermite s interpolation functionwas derived and proven for general cases.
- Hermite interpolation,
- Newton interpolation,
- subsection interpolation,
- error estimation,
- divided difference at same node