A technique is described in this paper to avoid order reduction when integrating reaction-diffusion initial boundary value problems with explicit exponential Rosenbrock methods. The technique is valid for any Rosenbrock method, without having to impose any stiff order conditions, and for general time-dependent boundary values. An analysis on the global error is thoroughly performed and some numerical experiments are shown which corroborate the theoretical results, and in which a big gain in efficiency with respect to applying the standard method of lines can be observed.

翻译：本文提出了一种技术，用于在使用显式指数罗森布罗克方法求解反应扩散初边值问题时避免降阶现象。该技术适用于任意罗森布罗克方法，无需施加任何刚性阶条件，且适用于一般时变边值条件。本文对全局误差进行了详尽分析，并通过数值实验验证了理论结果。实验表明，与标准线法相比，该方法在效率上实现了显著提升。