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Non-Reflecting Boundary Conditions for Traffic Flow Schrödinger Equation

Abstract

Urban traffic flow can be roughly approximated by a Schrödinger equation. For a simulation of the Schrödinger equation as well as for analytical computations it is usefull that waves of traffic which travel along a road are not reflected at the boundaries of the simulated region. Here, we present the non-reflecting boundary condition for the Schrödinger equation and prove it via numerical computations

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