Aspects of a Distributed Solution of the Brusselator Equation

The spatial discretization of nonlinear partial differential equations (PDEs) results in large systems of nonlinear ordinary differential equations (ODEs). The discretization of the Brusselator equation is a characteristic example. For the parallel numerical solution of the Brusselator equation we use an iterated Runge-Kutta method. We propose modifications of the original method that exploit the access structure of the Brusselator equation. The implementation is realized on an Intel iPSC/860. A theoretical analysis of the resulting speedup values shows that the efficiency cannot be improved considerably.