P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems
نویسندگان
چکیده
منابع مشابه
P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems
This paper discusses the numerical solution of periodic initial value problems. Two classes of methods are discussed, superimplicit and Obrechkoff. The advantage of Obrechkoff methods is that they are high-order one-step methods and thus will not require additional starting values. On the other hand they will require higher derivatives of the right-hand side. In cases when the right-hand side i...
متن کاملTrigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
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 numeri...
متن کاملImplicit One-step L-stable Generalized Hybrid Methods for the Numerical Solution of First Order Initial Value problems
In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the n...
متن کاملExplicit One-Step P -Stable Methods for Second Order Periodic Initial Value Problems†
In this paper, we present an explicit one-step method for solving periodic initial value problems of second order ordinary differential equations. The method is P -stable, and of first algebraic order and high phase-lag order. To improve the algebraic order, we give a composition second order scheme with the proposed method and its adjoint. We report some numerical results to illustrate the eff...
متن کاملtrigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
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 numeri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2007
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.11.041