مشخصات پژوهش

عنوان	Qualitatively Stability of Nonstandard 2-Stage Explicit Runge–Kutta Methods of Order Two
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	ordinary differential equations, initial value problems, nonstandard Runge–Kutta methods, stability, elementary stable, positivity.
چکیده	When one solves differential equations, modeling physical phenomena, it is of great importance to take physical constraints into account. More precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact solutions. Nonstandard finite differences (NSFDs) schemes can improve the accuracy and reduce computational costs of traditional finite difference schemes. In addition NSFDs produce numerical solutions which also exhibit essential properties of solution. In this paper, a class of nonstandard 2-stage Runge–Kutta methods of order two (we call it nonstandard RK2) is considered. The preservation of some qualitative properties by this class of methods are discussed. In order to illustrate our results, we provide some numerical examples
پژوهشگران	محمد مهدی زاده خالسرایی (نفر اول)، فیاض خدادوستی (نفر دوم)