随机扰动下三阶MQ拟插值在导数逼近中的应用研究

Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (1): 180-188.

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Application of Cubic MQ Quasi-Interpolation in Derivative Approximations Under Random Perturbation

Zhang Shengliang^1,^*(),Qian Yanyan²()

¹College of Economics and Management, Nanjing Forestry University, Nanjing 210037
²College of Science, Nanjing Forestry University, Nanjing 210037

Received:2024-03-22 Revised:2024-07-09 Online:2025-02-26 Published:2025-01-08
Supported by:
Improvement and application of real option model'(21YJC790162);Jiangsu Provincial Social Science Foundation(22EYB010)

Abstract

Abstract:

This paper proposes a numerical method that can effectively approximate high-order derivatives under random perturbation based on the cubic MQ (multiquadric) quasi-interpolation operator. Corresponding numerical examples and error estimates are given. Numerical experimental results show that the proposed method is more accurate, more stable and more effective than the existing methods.

Key words: derivative approximation, random perturbation, multi-quadric quasi-interpolation, error estimations.

CLC Number:

O241.5

Zhang Shengliang, Qian Yanyan. Application of Cubic MQ Quasi-Interpolation in Derivative Approximations Under Random Perturbation[J].Acta mathematica scientia,Series A, 2025, 45(1): 180-188.

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Application of Cubic MQ Quasi-Interpolation in Derivative Approximations Under Random Perturbation

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