مشخصات پژوهش

صفحه نخست /Fourth derivative singularly ...
عنوان Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Schrödinger equation; Consistency; Periodicity; P-stability; Singularly P-stability
چکیده In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, but it can also be considered as a suitable predictive technique to be used with implicit methods. Periodicity and error terms are studied when applied to solve the radial Schrödinger equation, considering different energy levels. We show its advantages in terms of accuracy, consistency, and convergence in comparison with other methods of the same order appearing in the literature.
پژوهشگران مارتین بوهنر (نفر پنجم)، فکرت آ. علیف (نفر چهارم)، محمد مهدی زاده خالسرایی (نفر سوم)، هیگینیو راموس (نفر دوم)، علی شکری (نفر اول)