TY - JOUR
TI - The generalized time fractional Gardner equation via numerical meshless collocation method
AU - Mehnaz Shakeel
AU - Khan Muhammad Nawaz
AU - Ahmad Imtiaz
AU - Abdel-Khalek Sayed
AU - Alghamdi Ahmed Mohammed
AU - Inc Mustafa
JN - Thermal Science
PY - 2022
VL - 26
IS - 101
SP - 469
EP - 474
PT - Article
AB - In this study, the meshless collocation approach is used to determine the  numerical solution the generalized time-fractional Gardner equation. The  Crank-Nicolson technique is used to approximate space derivatives, whereas  the Caputo derivative of fractional order is used to approximate the first  order time fractional derivative. The numerical solutions, which show the  method's efficacy and accuracy, are pro­vided and discussed. The numerical  solution shows that our method is effective in producing extremely accurate  results.