A new algorithm for periodic spline solutions to second order differential equations
Abstract
Not available.
Downloads
References
Burkowski, F. J.; Cowan, D. D. The numerical derivation of a periodic solution of a second order differential difference equation. SIAM J. Numer. Anal. 10 (1973), pp. 489-495, MR0329267, https://doi.org/10.1137/0710044
Elnaggar, A., Solutions harmoniques et sous-harmoniques de l'équation x+k₁x+k₂x³cos t=0, The 14th. Ann. Conf. on Stat. Com. Sci., Oper. Res. Maths., Cairo Univ., 1979.
Petzold, Linda R. An efficient numerical method for highly oscillatory ordinary differential equations. SIAM J. Numer. Anal. 18 (1981), no. 3, pp. 455-479, MR0615526, https://doi.org/10.1137/0718030
Pun, Lucas Initial conditioned solutions of a second-order nonlinear conservative differential equation with a periodically varying coefficient. J. Franklin Inst. 295 (1973), pp. 193-216, MR0333366, https://doi.org/10.1016/0016-0032(73)90164-6
Sallam, S. On the stability of quasidouble step spline function approximations for solutions of initial value problems. Acta Math. Acad. Sci. Hungar. 36 (1980), no. 3-4, pp. 207-210 (1981), MR0612191, https://doi.org/10.1007/bf01898134
Sallam, S., On the stability of quasidouble step spline approximation for solutions of y⁽ⁿ⁾=f(x,y,...,y⁽ⁿ⁻¹⁾). Proceeding of the Institute of Statistical Studies. Cairo University (1980), pp. 326-330.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
This work is licensed under a Creative Commons Attribution 4.0 International License.
Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
