Solution of 3D linearized KdV equation using reduced differential transform method

Abstract

In this paper, the reduced differential transform method (RDTM) is used to obtain approximate solution for a three-dimensional dispersive KdV equation with specified initial conditions and boundary conditions. This method provides the solution in the form of a convergent series with easily calculable terms. Comparing RDTM with other semianalytic methods in the literature shows that the present approach is very simple, effective, powerful and can be easily applied to other linear or nonlinear PDEs in science and engineering. Our method reduces the computational difficulties experienced in other traditional methods.