A highly accurate RBF quasi-interpolation method for approximating the derivatives

被引：0
|
作者：
Zhang, Shengliang [1 ]
机构：
[1] Nanjing Forestry Univ, Coll Econ & Management, Nanjing, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 06期
关键词：
Highly accurate quasi-interpolation; Radial basis functions; Approximation to derivatives; Stability; NUMERICAL-METHOD; COLLOCATION;
D O I：
10.1007/s40314-021-01623-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study provides a new method for approximating the derivatives by cubic multiquadric quasi-interpolation operator. We prove that cubic multiquadric quasi-interpolation can approximate the derivative f((k)) ( x) with a high-order accuracy. Then, the stability of the method is analyzed by compared with the classical divided difference. Some numerical examples are chosen to demonstrate the accuracy and effectiveness of the proposed method.
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页数：14
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