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 Shengliang1,*(),Qian Yanyan2()   

  1. 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:

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
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