TY - JOUR ID - 601 TI - The symmetric two-step P-stable nonlinear predictor-corrector‎ ‎methods for the numerical solution of second order‎ ‎initial value problems JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Shokri, A. AD - Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran Y1 - 2015 PY - 2015 VL - 41 IS - 1 SP - 201 EP - 215 KW - ‎Hybrid methods‎ KW - ‎P-stable‎ KW - off-step points‎ KW - predictor-corrector DO - N2 - 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 problems show its superiority in efficiency‎, ‎accuracy and stability‎.‎‎ UR - http://bims.iranjournals.ir/article_601.html L1 - http://bims.iranjournals.ir/article_601_887ac07814abac5ed77af1832d56e7c7.pdf ER -