In this article, we offer a comparison in terms of computational efficiency between two
techniques to avoid order reduction when using Strang method to integrate nonlinear initial
boundary value problems with time‐dependent boundary conditions. We see that it is
important to consider an exponential method for the integration of the linear
nonhomogeneous and stiff part in the technique by Einkemmer et al. so that the latter is
comparable in efficiency with that suggested by Alonso et al. Some other advantages of the …