Modified THDRK methods for the numerical integration of the Schrodinger equation

摘要

Modified three-derivative Runge-Kutta (MTHDRK) methods for the numerical solution of the resonant state for the Schrodinger equation are investigated. Order conditions are presented and oscillation-fitting conditions are derived. Two practical fifth-order explicit MTHDRK methods are constructed and the error analysis is carried out for large energy. The numerical results are presented for the numerical solution of the Schrodinger equation to show the robustness of our new methods.