TY - JOUR
TI - Local meshless collocation scheme for numerical simulation of space fractional PDE
AU - Shakeel Mehnaz
AU - Khan Muhammad Nawaz
AU - Ahmad Imtiaz
AU - Ahmad Hijaz
AU - Jarasthitikulchai Nantapat
AU - Sudsutad Weerawat
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 101
EP - 109
PT - Article
AB - In this work, numerical solution of multi term space fractional PDE is  calculated by using radial basis functions. The fractional derivatives of  radial basis functions are evaluated by Caputo and Riemann-Liouville  definitions. Local radial basis functions are applied to get stable and  accurate solution the problem. Accuracy of the method is assessed by using  double mesh procedure. Numerical solutions are presented for different  fractional orders to show the effect of introducing fractionality.