A PREDICTOR-CORRECTOR SCHEME FOR REACTION-DIFFUSION EQUATIONS

We consider the numerical solution of a system of reaction-diffusion e quations containing nonlinear reaction terms which model chemical wave propagation. An approximating nonlinear system of ordinary differenti al equations arises by applying the Method of Lines semidiscretization approach. This initial valve system is solved using a novel linearly implicit predictor-corrector method which results by treating the nonl inear source terms explicitly. The stable, second order scheme avoids the necessity to iterate as well as the time-step restriction common t o other Finite Difference methods. Natural parallelism across the syst em surfaces making the method as economical as lower order Euler-type schemes.