Model Order Reduction(MOR) of Nonlinear Telegraph Equation using Discrete Empirical Interpolation Method

In the present paper a reduced order modeling method called Discrete Empirical Interpolation, which reduces the complexity involved in the computaion of the well known Proper Orthogonal Decomposition (POD) applied to Telegraph equation. The nonlinear partial differential equation (PDE) is discretized using finite difference (FD) method. Obtained set of equations are written in the form of nonlinear polynomial equations. The lumped-parameter representation defines the nonlinear state space model as derived for the Telegraph equation. The Discrete Empirical Interpolation Method (DEIM) delivers a reliable and accurate modeling approach. Finally, accuracy of the reduced order Telegraph model is demonstrated through a numerical example;showing that DEIM with 7 dimensions produces an accurate approximation of the system output.