Collocated Meshless Method for Time-Fractional Diffusion-Wave Equations

This paper goals to expand a meshless method using the collocated discrete least squares meshless (CDLSM) approach for math- ematical modeling of a category of time fractional diffusion-wave equa- tion (TFDWE). First, moving least squares (MLS) method used to con- struct the shape function is brie y described. Then, using the shape function generated by the least squares method, the discrete shape of the TFDWE is received in the strong form. Two-dimensional test prob- lems with different nodes and collocations distributions are studied to validate and look at the accuracy and performance of proposed method.