分部积分在分数阶微积分逼近的误差估计中的应用

doi:10.16039/j.cnki.cn22-1249.2022.05.018

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摘要

基于积分型余项的泰勒公式，通过分部积分，推导了在分数阶微积分的数值计算和理论分析中应用广泛的一次插值、二次插值逼近和半点逼近等几个逼近格式的误差估计，并用算例验证了理论公式的性能．

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	张光辉
	任敏

关键词: 分部积分分数阶微积分误差估计

Abstract:

Based on Taylor's formula with integral remainder term, the error estimates of some approximation schemes, such as linear interpolation, quadratic interpolation and half-point approximation, which are widely used in numerical calculation and theoretical analysis of fractional calculus, are derived by integration by parts and an example is given to verify the performance of the theoretical formula.

Key words: integration by parts fractional calculus error estimation

出版日期: 2022-05-25 发布日期: 2022-05-25 整期出版日期: 2022-05-25

ZTFLH:

O242.2

引用本文:

张光辉, 任敏. 分部积分在分数阶微积分逼近的误差估计中的应用 [J]. 吉林化工学院学报, 2022, 39(5): 89-93.

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http://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2022.05.018 或 http://xuebao.jlict.edu.cn/CN/Y2022/V39/I5/89

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