A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation، انجام شده توسط محمد مهدی زاده خالسرایی

مشخصات پژوهش

عنوان	A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Phase fitting Schrödinger equation Phase-lag Ordinary differential equations P-stable Symmetric multistep methods
سال	2019
مجله	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
شناسه DOI	https://doi.org/10.1016/j.cam.2018.04.024
پژوهشگران	علی شکری ، جیزیز ویگو آگوار ، محمد مهدی زاده خالسرایی ، راگوئل گارسیا-روبیو

چکیده

In this paper, we present a new four-step implicit P-stable Obrechkoff method of tenth algebraic order for solving one-dimensional second-order linear periodic and oscillatory initial value problems of ordinary differential equations such as reasonable Schrödinger equation. Numerical stability and phase properties of the new methods are analyzed. Numerical experiments are carried out to show the efficiency and robustness of our new methods in comparison with the well known codes proposed in the scientific literature.