A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrodinger equation

作者：Zhou, Zhou; Simos, T. E.^*

来源：Journal of Mathematical Chemistry, 2016, 54(2): 442-465.

DOI：10.1007/s10910-015-0571-x

• Phase-lag
• Derivative of the phase-lag
• Initial value problems
• Oscillating solution
• Symmetric
• Hybrid
• Multistep
• Schrodinger equation

A two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives with low computational cost is developed in this paper for the first time in the literature. More specifically in this paper we present: the theoretical background for the development of the new low computational and high efficient method,
the development of the method,
the local truncation error analysis based on the radial Schrodinger equation,
the interval of periodicity-stability analysis,
the examination of the efficiency of the new produced method by applying it to the numerical solution of the Schrodinger equation.

• 出版日期2016-2
• 单位长安大学