سال انتشار: ۱۳۹۳
محل انتشار: دومین کنفرانس بین المللی دستاوردهای نوین در علوم مهندسی و پایه
تعداد صفحات: ۸
نویسنده(ها):
Hossein Saadat – Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
Habib Saadat Bonab – Education of Bonab, Razi School, Bonab, Iran
Rahman Saadat – Faculty of Human Sciences, University of Azad Bonab, Bonab, Iran

چکیده:

With this paper, a new algorithm with algebraic order ten is proposed, with phase-lag and its first fourderivatives eliminated for the numerical solution of the one-dimensional Schrödinger equation, the methodology ofvanishing of the phase-lag and its derivatives. We investigate the behavior of the new algorithm and the property ofthe local truncation error and a comparison with other methods leads to conclusions and remarks about its accuracyand stability. Error analysis and the numerical results illustrate the efficiency of the new algorithm.