Comparative Study of Some Numerical and Semi-analytical Methods for some 1D and 2D Dispersive KdV-type equations.

This paper aims to investigate an approximate-analytical and numerical solutions for some 1D 2D dispersive homogeneous non-homogeneous KdV equations by employing two reliable methods namely reduced differential transform method (RDTM) a classical finite-difference method. RDTM provides analytical approximate solution in the form of convergent series. The (FDM) solve is employed primarily checking Von Neumann’s stability criterion. performance mentioned considered experiments are compared computing absolute relative errors at spatial nodes given time; best our knowledge, comparison between these novel. Knowledge acquired will enable us build other related PDEs such as KdV-Burgers, stochastic fractional KdV-type equations.