There are two common methods for solving the equations in PML region, which are called Convolutional Perfectly Matched Layer(s) (CPML) and Auxiliary Differential Equations PML (ADE-PML).In recent years, the NPML method has been implemented using only one of three complex parameters. In this paper we have implemented our suggested method based on ADE-PML method & we have used all three PML complex parameters.We deriveAuxiliary Differential Equations Perfectly Matched Layer (ADE-PML)absorbing boundary conditions of direct applicability to second-order wave equations of interest in seismic modeling. Specifically, ADE-PML equations are derived for the scalar acoustic wave equation and for TTI pseudo acoustic wave equations.