On the eventual periodicity of fractional order dispersive wave equations using RBFS and transform

In this research work, let’s focus on the construction of numerical scheme based radial basis functions finite difference (RBF-FD) method combined with Laplace transform for solution fractional order dispersive wave equations. The is then applied to examine eventual periodicity proposed model subject periodic boundary conditions. implementation technique high and integer type nonlinear partial differential equations (PDEs) beneficial because local in nature, therefore it yields resulted sparse differentiation matrices instead full dense matrices. Only small dimensions linear systems are be solved every center domain hence procedure more reliable efficient solve large scale physical engineering problems complex domain. utilized obtaining equivalent time-independent equation space also valuable handle time-fractional derivatives Caputo sense. Application avoids time steeping which commonly encounters instability issues. transformed obtained by computing inversion an appropriate contour a space, approximated trapezoidal rule accuracy. Also since operator linear, cannot used non-linear terms use linearization approach iterative scheme. tasted some KdV Burgers capacity, accuracy efficiency our demonstrated using examples resultsRBFs Methods