TY - JOUR
ID - 10451
TI - Trigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Shokri, A.
AU - Shokri, A. A.
AU - Mostafavi, Sh.
AU - Saadat, H.
AD - Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
AD - Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
AD - Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran.
AD - Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran
Y1 - 2015
PY - 2015
VL - 6
IS - 2
SP - 145
EP - 161
KW - Obrechkoff methods
KW - Trigonometrically-fitting
KW - Initial value problems
KW - Symmetric multistep methods
KW - Oscillating solution
DO - 10.22052/ijmc.2015.10451
N2 - 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.
UR - http://ijmc.kashanu.ac.ir/article_10451.html
L1 - http://ijmc.kashanu.ac.ir/article_10451_e37900e24a74b6f240f6b1f76209f4e0.pdf
ER -