TY - JOUR
TI - Numerical simulations of time-fractional PDES arising in mathematics and physics using the local Meshless differential quadrature method
AU - Almutairi Bander
AU - Ahmad Imtiaz
AU - Almohsen Bandar
AU - Ahmad Hijaz
AU - Ozsahin Dilber Uzun
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 263
EP - 272
PT - Article
AB - The numerical solution of the 2-D time-fractional Sobolev equations is  approximated using an efficient local differential quadrature method, in  this paper. The time-fractional part of the model equations uses the  Liouville-Caputo fractional derivative technique, however, the recommended  meshless method is employed for the space derivatives. Test problems are  used to undertake numerical experiments. In order to evaluate the  effectiveness and accuracy of the suggested meshless method, we compared  our outcomes with the exact solution and numerical methods presented in more  recent literature. This comparison showed that the proposed method is more  efficient computationally and yields excellent performance.