Electromagnetic problem. The FDTD is derived by discretizing the Maxwell’s Equation using the finite difference (FN) method. We test the governing equation by numerically constructing the Yee Algorithm in 1-Dimensional (1-D) System to describe the distribution of the Transverse Electric (TE) and Transverse Magnetic (TM) within two type boundary condition. First, we simulate the system using Perfectly Electrically/Magnetically Conducting (PEC/PMC) boundary condition, second with Absorbing Boundary Condition (ABCs). We assume that TE and TM are propagate in homogenous and isotropic media. Thereore, the conductivity σ, permeability, μ and permittivity remains constant time by time. For a further studiy, we apply the simulation to the isotropic and homogenous 2 dimensional earth layers that have a various condition of the BVP. The result leads to the conclusion that for the ideal condition of the layered earth model, the simulation is able to give a best solution for each earth layer problem.