In this article, we have developed an implicit symmetric four-step method of sixth algebraic order with vanished phase-lag and its first derivative. The error and stability analysis of this method are investigated, and its efficiency is tested by solving efficiently the one-dimensional time-independent Schrödinger’s equation. The method performance is compared with other methods in the literature. It is found that for this problem the new method performs better than the compared methods.

中文翻译：

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具有零相位滞后的第六代数阶隐式对称新方法及其一阶导数求解薛定ding方程

在本文中，我们开发了具有零相位滞后及其一阶导数的第六代数阶隐式对称四步法。研究了该方法的误差和稳定性分析，并通过有效地求解一维时间独立的薛定er方程，测试了该方法的效率。该方法的性能与文献中的其他方法进行了比较。发现针对该问题，新方法的性能优于比较方法。