The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems
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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.
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Journal title
volume 41 issue 1
pages 201- 215
publication date 2015-02-01
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