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 عنوان مجله JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS نوع پژوهش مقاله چاپ شده کلیدواژهها Phase fitting Schrödinger equation Phase-lag Ordinary differential equations P-stable Symmetric multistep methods 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. پژوهشگران علیشکری (نفر اول)، جیزیزویگو آگوار (نفر دوم)، محمدمهدی زاده خالسرایی (نفر سوم)، راگوئلگارسیا-روبیو (نفر چهارم)