In this paper, we present the application of our analytical solution for Joglekar’s and Prodromakis’ window functions in circuit simulators Simscape and LTspice for modeling of HP memristor as an ideal generic memristor. The existing analytical solution for Joglekar’s window contains infinite hyper geometric series, while our model provides finite closed form expressions for charge q(x) and flux φ(x) dependence on state variable x. In simulations, the solution for state variable x in our case may follow from numerical solving of nonlinear algebraic equation, instead of ODE. The convergence, accuracy and simulation speed of the models are analyzed and discussed.