A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation
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[1] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[2] Deyin Zhao,et al. A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation , 2004, Comput. Phys. Commun..
[3] A. D. Raptis,et al. A four-step phase-fitted method for the numerical integration of second order initial-value problems , 1991 .
[4] E. Hairer. Unconditionally stable methods for second order differential equations , 1979 .
[5] U. Krishnaiah,et al. Adaptive methods for periodic initial value problems of second order differential equations , 1982 .
[6] Ronald E. Mickens,et al. An introduction to nonlinear oscillations , 1981 .
[7] M. M. Chawla,et al. Families of two-step fourth order P-stable methods for second oder differential equations , 1986 .
[8] M. K. Jain. A modification of the stiefel-bettis method for nonlinearly damped oscillators , 1988 .
[9] Tom E. Simos. A P-stable complete in phase Obrechkoff trigonometric fitted method for periodic initial-value problems , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[10] U. Ananthakrishnaiah. P-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems , 1987 .
[11] R. Van Dooren. Stabilization of Cowell's classical finite difference method for numerical integration , 1974 .
[12] J. Lambert,et al. Symmetric Multistip Methods for Periodic Initial Value Problems , 1976 .
[13] M. M. Chawla,et al. Extended two-step P-stable methods for periodic initial-value problems , 1996, Neural Parallel Sci. Comput..
[14] Beny Neta,et al. Obrechkoff versus super-implicit methods for the solution of first- and second-order initial value problems , 2003 .