A method of characteristics for solving multirate partial differential equations in radio frequency application Original Research Article

In communication electronics, radio frequency applications are characterised by widely separated time scales. This behaviour increases both computation costs and problems during numerical simulation. A new signal model that transforms the ODE into a PDE model, can serve as a basis for more efficient numerical methods. From one point of view, it can be regarded as a multirate scheme applied to the underlying ODE. Based on an analysis of this model, we present a method of characteristics to solve the PDE system with periodic boundary conditions. This technique exploits the special form of information transport in the given system.