“…In the context of high-order finite differences, compact finite difference methods feature high-order accuracy and smaller stencils [1,6,10,13,17]. Recently, there has been a renewed interest in the development and application of compact finite difference methods for the numerical solution of the nonlinear Schrodinger equation [2,18], advectiondiffusion equation [7], and generalized RLW equation [9]. It is evident that they are not only accurate and cost effective but also provide easier treatment of boundary conditions.…”