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:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 41
issue 1 2015
Keywords
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