trigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
نویسندگان
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.
منابع مشابه
Trigonometrically 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 کاملThe symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems
In this paper, we propose a modification of the second order method introduced in [Q. Li and X. Y. Wu, A two-step explicit $P$-stable method for solving second order initial value problems, textit{Appl. Math. Comput.} {138} (2003), no. 2-3, 435--442] for the numerical solution of IVPs for second order ODEs. The numerical results obtained by the new method for some...
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 کاملthe symmetric two-step p-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems
in this paper, we propose a modification of the second order method introduced in [q. li and x. y. wu, a two-step explicit $p$-stable method for solving second order initial value problems, textit{appl. math. comput.} {138} (2003), no. 2-3, 435--442] for the numerical solution of ivps for second order odes. the numerical results obtained by the new method for some...
متن کاملA Family of Trigonometrically Fitted Enright Second Derivative Methods for Stiff and Oscillatory Initial Value Problems
A family of Enright’s second derivative formulas with trigonometric basis functions is derived using multistep collocation method. The continuous schemes obtained are used to generate complementary methods. The stability properties of the methods are discussed.Themethodswhich can be applied in predictor-corrector formare implemented in block formas simultaneous numerical integrators over nonove...
متن کاملP-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 کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of mathematical chemistryناشر: university of kashan
ISSN 2228-6489
دوره 6
شماره 2 2015
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023