Shengliang Zhang：Computational and Applied Mathematics，2021（224）

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更新时间：2021-10-21 点击次数：3341

作者: Shengliang Zhang

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

期刊：Computational and Applied Mathematics，2021（224）

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.