THERMAL SCIENCE
International Scientific Journal
SIMULATION OF GENERALIZED TIME FRACTIONAL GARDNER EQUATION UTILIZING IN PLASMA PHYSICS FOR NON-LINEAR PROPAGATION OF ION-ACOUSTIC WAVES
ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2022-02-10
PAPER REVISED: 2022-03-04
PAPER ACCEPTED: 2022-03-14
PUBLISHED ONLINE: 2023-04-08
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