Collocated meshless method for Time-Fractional Diffusion-Wave Equations

Abstract

This paper goals to expand a meshless method using the collocated discrete least squares meshless (CDLSM) approach for mathematical modeling of a category of time fractional diffusion-wave equation (TFDWE). First, moving least squares (MLS) method used to construct the shape function is briefly 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 problems with different nodes and collocations distributions are studied to validate and look at the accuracy and performance of proposed method.