02 خرداد 1403
علي شكري

علی شکری

مرتبه علمی: استاد
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
A new efficient implicit four-step method with vanished phase-lag and its first derivative for the numerical solution of the radial Schrodinger equation
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Schr¨odinger equation, Phase-lag analysis, Stability region, Symmetric multistep methods
سال
2017
مجله Journal of Modern Methods in Numerical Mathematics
شناسه DOI DOI: https://doi.org/10.20454/jmmnm.2017.1223
پژوهشگران علی شکری ، مرتضی تهمورسی

چکیده

A new four-step implicit linear sixth algebraic order method with vanished phase-lag and its first derivative is constructed in this paper. The purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial Schrodinger equation and related problems. In order to produce an efficient multistep method the phase-lag property and its derivatives are used. The new method is analyzed for accuracy and periodicity properties, the error constants and interval and region of periodicity are investigated and obtained. The methods are compared with existing methods and they are tested on five problems from the literature.