In this paper a technique is given to recover the classical order of the method when explicit exponential Runge-Kutta methods integrate reaction-diffusion problems. Although methods of high stiff order for problems with vanishing boundary conditions can be constructed, that may imply increasing the number of stages and therefore, the computational cost seems bigger than the technique which is suggested here, which just adds some terms with information on the boundaries. Moreover, time-dependent boundary conditions are directly tackled here.

翻译：本文用一种技术来恢复方法的经典顺序,当明确的指数龙格-库塔方法结合了反扩散问题时。 虽然可以建立对消失边界条件问题高度严格排序的方法,但这可能意味着增加阶段数量,因此计算成本似乎比此处建议的方法要大,因为此处建议的方法只是增加一些关于边界的术语。此外,这里直接处理的是取决于时间的边界条件。