Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
Abstract
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.
Shokri, A. (2015). The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems. Bulletin of the Iranian Mathematical Society, 41(1), 201-215.
MLA
A. Shokri. "The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems". Bulletin of the Iranian Mathematical Society, 41, 1, 2015, 201-215.
HARVARD
Shokri, A. (2015). 'The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems', Bulletin of the Iranian Mathematical Society, 41(1), pp. 201-215.
VANCOUVER
Shokri, A. The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems. Bulletin of the Iranian Mathematical Society, 2015; 41(1): 201-215.
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