Improvement of the Multiquadric Quasi-Interpolation L_(W_2 )

In this paper, we improve the multiquadric (MQ) quasi-interpolation operator LW2. The operator LW2 is based on inverse multiquadric radial basis function (IMQ-RBF) interpolation, and Wu and Schabackʹs MQ quasi-interpolation operator LP. In definition process of the quasi-interpolation LW2, the second derivative of function is used that approximated by center finite difference. In this paper, we use compact finite difference for approximation of the second derivative and increase accuracy of quasi-interpolation LW2 . Numerical experiments demonstrate that the proposed MQ quasi-interpolation scheme is valid.