Analogue solution of 2nd-order hyperbolic partial differential equations by method of continuous characteristics

Hybrid methods based on the method of characteristics are developed for the solution of three different forms of hyperbolic differential equations. The techniques developed extend the early work of Hartree. It is shown that linear equations may be solved by a conventional analogue machine with iterative logic. Nonlinear problems require, in addition, the use of generalised integrators. Solutions obtained are compared with digital-computer solutions, and indicate thesignificant advantage of the hybrid machine in respect of computing time. The technique described provides a rapid method for modelling distributed-parameter systems which is of particular relevance to online-control applications.