Solving of usual differential equalizations of the second order by hybrid method
Abstract
The decisions of many scientific and technical tasks are taken to the decision of usual differential equalizations of the second order. Being of decisions of such equalizations many well-known scientists are engaged in. However, until now effective methods are not built for being of their decisions. Therefore scientists more often come to the construction of numeral methods with new properties for a decision of UDE of the second order. Here, the construction of methods is also examined with new properties for a decision UDE of the second order. Hybrid methods are offered to that purpose.References
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2. Dahlquist G. Stability and Error bounds in the numerical integration of ordinary differential equations / G. Dahlquist //
Uppsala, Almqvist and Wiksells boktr. — 1959. — No. 130. — Рp. 5—92.
3. Kobza J. Second derivative methods of Adams type / J. Kobza // Applikace Mathematicky. — 1975. — No. 20. —
Рp. 389—405.
4. Dahlquist G. Convergence and stability in the numerical integration of ordinary differential equations / G. Dahlquist //
Math. Scand. — 1956. — No. 4. — Рp. 33—53.
5. Hairier E. Solving ordinary differential equations / E. Hairier, S. P. Norsett, G. Wanner (Russian). — М. : — Mir, 1990.—
512 p.
6. Ibrahimov V. R. On some connections between Runge-Kutta and Adams methods / V. R. Ibrahimov, G. Yu. Mehdiyeva,
I. I. Nasirova // Transactions issue mathematics and mechanics series of phisical-technical and mathematical science. — XXV.
— No. 7. — Baku. — 2005. — Рp. 183—190.
7. On generalized 2-step continuous linear multistep method of hybrid type for the integration of second order ordinary differential
equations / [J. O. Ehigie, S. A. Okunuga, A. B. Sofoluwe, M. A. Akanbi] // Archives of Applied Research. — 2010. —
No. 2(6). — Рp. 362—372.
8. Mehdiyeva G. Yu. On one generalization of hybrid methods. Proceedings of the 4th international conference on approximation
methods and numerical modeling in environment and natural resources / G. Yu. Mehdiyeva, M. N. Imanova,
V. R. Ibrahimov // Saidia, Morocco, May 23—26. — 2011. — Рp. 543—547.
9. Mehdiyeva G. Yu. Some research on numerical solution of second order differential equations / G. Yu. Mehdiyeva,
V. R. Ibrahimov, M. N. Imanova // ICM 2012, 11—14 March. — Al-Ain. — Рp. 673—679.
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How to Cite
[1]
H. Y. Mekhtiieva, M. N. Imanova, and V. R. Ibrahimov, “Solving of usual differential equalizations of the second order by hybrid method”, Вісник ВПІ, no. 1, pp. 145–149, Mar. 2013.
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