Computer algorithm for hyperbolic equations

Quasi-linear hyperbolic partial-differential equations of the second order are easily transformed into their characteristic form, and hybrid computer algorithms based on the Continuous Space Discrete Time method of lines, taking advantage of such transformations are conveniently implemented. This is illustrated in this paper, together with considerations of the minimization of spurious diffusion effects which are associated with difference approximations of such equations. The example taken is that of the transient simulation of electrical transmission lines, but the concepts presented apply equally well to other problems in this class (e.g. one dimensional hydraulic simulations).