NUMERICAL SIMULATION OF THE NONLINEAR FRACTIONAL REGULARIZED LONG-WAVE MODEL ARISING IN ION ACOUSTIC PLASMA WAVES

摘要

This paper aimed at obtaining the traveling-wave solution of thenonlinear time fractional regularized long-wave equation. In this approach,firstly, the time fractional derivative is accomplished using a finite differencewith convergence order O(δt~(2-α)) for 0 < ff < 1 and the nonlinear term is linearizedby a linearization technique. Then, the spatial terms are approximatedwith the help of the radial basis function (RBF). Numerical stability of themethod is analyzed by applying the Von-Neumann linear stability analysis.Three invariant quantities corresponding to mass, momentum and energy areevaluated for further validation. Numerical results demonstrate the accuracyand validity of the proposed method.