Radial point interpolation collocation method based approximation for 2D fractional equation models

In this work, we studied the radial point interpolation collocation method (RIPCM) for the solution of the partial differential models with fractional derivatives. In the present meshless method, polynomial basis function and two novel types local support fields were considered. The (time-)space fractional differential equations with single-term or multi-term time derivatives in irregular domain were well simulated numerically by the proposed RIPCM method. Numerical tests were carried out to verify the accuracy and demonstrate the strength of the RIPCM in solving fractional derivative models in irregular domain.