Trigonometrically Fitted Two-step Obrechkoff Methods for the Numerical Solution of Periodic Initial Value Problems
نویسندگان
1 Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
2 Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran.
3 Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran
4 Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
doi
10.22052/ijmc.2015.10451چکیده
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.
