An economical eighth-order method for the approximation of the solution of the Schrodinger equation

作者：Wang, Zhiwei; Simos, T. E.^*

来源：Journal of Mathematical Chemistry, 2017, 55(3): 717-733.

DOI：10.1007/s10910-016-0718-4

• Phase-lag
• Derivative of the phase-lag
• Symmetric
• Multistep
• Schrodinger equation

In this paper we introduce, for the first time in the literature, a three-stages two-step method. The new algorithm has the following characteristics: (1) it is a two-step algorithm, (2) it is a symmetric method, (3) it is an eight-algebraic order method (i.e of high algebraic order), (4) it is a three-stages method, (5) the approximation of its first layer is done on the point and not on the usual point , (6) it has eliminated the phase-lag and its derivatives up to order two, (7) it has good stability properties (i.e. interval of periodicity equal to . For this method we present a detailed analysis : development, errorand stability analysis. The new proposed algorithm is applied to systems of differential equations of the Schrodinger type in order to examine its efficiency.

• 出版日期2017-3
• 单位长安大学