TY  - EJOU
AU  - Uddin, Marjan 
AU  - Jan, Hameed Ullah 
AU  - Usman, Muhammad 

TI  - RBF-FD Method for Some Dispersive Wave Equations and Their Eventual Periodicity
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2020
VL  - 123
IS  - 2
SN  - 1526-1506

AB  - In this paper, we approximate the solution and also discuss the periodic behavior
termed as eventual periodicity of solutions of (IBVPs) for some dispersive wave equations
on a bounded domain corresponding to periodic forcing. The constructed numerical
scheme is based on radial kernels and local in nature like finite difference method. The temporal variable is executed through RK4 scheme. Due to the local nature and sparse differentiation matrices our numerical scheme efficiently recovers the solution. The results
achieved are validated and examined with other methods accessible in the literature.
KW  - RBFs meshless methods
KW  - RBF-FD scheme
KW  -  eventual periodicity
KW  - BBM and KdV type equations

DO  - 10.32604/cmes.2020.08717