TY - JOUR
TI - Numerical simulation of 3-D Sobolev equation via local meshless method
AU - Ahmad Imtiaz
AU - Ahsan Muhammad
AU - Elamin Abd Elmotaleb A. M. A.
AU - Abdel-Khalek Sayed
AU - Inc Mustafa
JN - Thermal Science
PY - 2022
VL - 26
IS - 101
SP - 457
EP - 462
PT - Article
AB - In this study, we use an effective meshless method to estimate the numerical  solution of 3-D time-fractional Sobolev equation. The recommended meshless  method is used for the spatial derivatives while the Liouville-Caputo  derivative technique is utilized for the time derivative portion of the  model equation. Accuracy of the method is assessed via error norms and  comparison is made with the exact solution and other numerical methods given  in more current literature, which demonstrated that the suggested strategy  produces excellent performance and is more computationally efficient.