Abstract
A modification to the method of characteristics (MOC) is described for solving a system of two first order hyperbolic partial differential equations possessing periodic solutions. The condition of the physical system is specified by two boundary conditions at a single spatial location. The system's periodicity is incorporated into the numerical scheme to generate an additional set of boundary conditions at t = 0 and t = 2 π as the solution proceeds forward in space rather than in time as in the usual MOC. No downstream boundary conditions and no initial conditions are permitted. The number of computations is minimized since only one cycle is calculated. The validity of this new approach is illustrated by an example from cardiovascular fluid dynamics for which the exact solution is known.
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