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

期刊：Computational and Applied Mathematics  (2021) 40:224

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.