Radial Basis Function Collocation Method Based On Quasi-Uniformly Node Configuration for 2D Fractional Laplacian Wave Mo

Decoupled fractional Laplacian wave equation can describe the seismic wave propagation in attenuating media. In this paper, the proposed method solves the equation in physical variable domain. the quasi-uniformly node configuration scheme is introduced for node placing, and the directional fractional Laplacian is chosen from varied definitions of fractional Laplacian. Particularly, the vector Grünwald-Letnikov formula is employed to approximate fractional directional derivative of radial basis function. Via comparison between the quasi-uniformly node configuration scheme and uniformly node placing scheme, results showed that quasi-uniformly scheme could effectively increase computational efficiency, especially when handling with complex model. The test on the complex model demonstrate the potential of this method in seismic modeling.