A family of hybrid eighth order methods with minimal phase-lag for the numerical solution of the Schrodinger equation and related problems
In this paper a family of hybrid methods with minimal phase-lag are developed for the numerical solution of periodic initial-value problems. The methods are of eighth algebraic order and have large intervals of periodicity. The efficiency of the new methods is presented by their application to the wave equation and to coupled differential equations of the Schrodinger type.
phase-lag schrodinger equation hybrid methods periodic initial-value problems algebraic order interval of periodicity wave equation