Highly Convergent Simulations of Transport Dynamics in Organic Light-Emitting Diodes

We present a method-of-lines solution procedure for modelling charge transport and recombination in organic light-emitting diodes operating in the trap-free space-charge-limited regime. The numerical procedure employs a spatial remeshing algorithm based on equidistribution principles as reported by Sanz-Serna and Christie (1986, J. Comput. Phys.67, 348) and incorporates additional refinements proposed by Revilla (1986, Int. J. Numer. Methods Eng.23, 2263) and Saucez et al. (1996, J. Comput. Phys.128, 274). The method, which does not give rise to ill-conditioned series of differential equations, offers rapid convergence to the steady state and is especially well suited to systems of equations displaying steep moving solution fronts. The technique is readily extended to more complex systems.