%0 Journal Article
%T Trigonometrically Fitted Two-step Obrechkoff Methods for the Numerical Solution of Periodic Initial Value Problems
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Shokri, A.
%A Shokri, A. A.
%A Mostafavi, Sh.
%A Saadat, H.
%D 2015
%\ 10/01/2015
%V 6
%N 2
%P 145-161
%! Trigonometrically Fitted Two-step Obrechkoff Methods for the Numerical Solution of Periodic Initial Value Problems
%K Obrechkoff methods
%K Trigonometrically-fitting
%K Initial value problems
%K Symmetric multistep methods
%K Oscillating solution
%R 10.22052/ijmc.2015.10451
%X 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.
%U https://ijmc.kashanu.ac.ir/article_10451_e37900e24a74b6f240f6b1f76209f4e0.pdf