TY - JOUR
ID - 105316
TI - A New Explicit Singularly P-Stable Four-Step Method for the Numerical Solution of Second Order IVPs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Mehdizadeh Khalsaraei, Mohammad
AU - Shokri, Ali
AD - Department of mathematics, University of Maragheh, Amirkabir Highway, P. O. Box. 55181-83111
AD - Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
Y1 - 2020
PY - 2020
VL - 11
IS - 1
SP - 17
EP - 31
KW - Explicit methods
KW - Phase-lag
KW - Ordinary differential equations
KW - P-stable
KW - Symmetric multistep methods
DO - 10.22052/ijmc.2020.207671.1472
N2 - In this paper, we introduce a new symmetric explicit four-step method with variable coefficients for the numerical solution of second-order linear periodic and oscillatory initial value problems of ordinary differential equations. For the first time in the literature, we generate an explicit method with the most important singularly P-stability property. The method is multiderivative and has algebraic order eight and infinite order of phase-lag. The numerical results for some chemical (e.g. orbit problems of Stiefel and Bettis) as well as quantum chemistry problems (i.e. systems of coupled differential equations) indicated that the new method is superior, efficient, accurate and stable.
UR - http://ijmc.kashanu.ac.ir/article_105316.html
L1 - http://ijmc.kashanu.ac.ir/article_105316_cf6ff6111c1398417f28d801c2cf3b23.pdf
ER -