TY - JOUR
TI - Simulation of generalized time fractional Gardner equation utilizing in plasma physics for non-linear propagation of ion-acoustic waves
AU - Irshad Hajira
AU - Shakeel Mehnaz
AU - Ahmad Imtiaz
AU - Ahmad Hijaz
AU - Tearnbucha Chutarat
AU - Sudsutad Weerawat
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 121
EP - 128
PT - Article
AB - In this work, radial basis function collocation method (RBFCM) is implemented  for generalized time fractional Gardner equation (GTFGE). The RBFCM is  meshless and easy-to-implement in complex geometries and higher dimensions,  therefore, it is highly demanding. In this work, the Caputo derivative of  fractional order ξ ∈ (0, 1] is used to approximate the first order time  derivative whereas, Crank-Nicolson scheme is hired to approximate space  derivatives. The numerical solutions are presented and discussed, which  demonstrate that the method is effective and accurate.