عنوان
|
Trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
|
نوع پژوهش
|
مقاله چاپشده در مجلات علمی
|
کلیدواژهها
|
Obrechkoff methods • Trigonometrically-fitting • Initial value problems • Symmetric multistep methods • oscillating solution
|
چکیده
|
In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.
|
پژوهشگران
|
حسین سعادت (نفر چهارم)، شبنم مصطفوی (نفر سوم)، عیاسلی شکری (نفر دوم)، علی شکری (نفر اول)
|