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On the determination of approximate periodic solutions of some non-linear ODE |
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| Authors: | M. Gadella L.P. Lara |
| Affiliation: | a Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47071 Valladolid, Spain b Departamento de Física, FCEIA, Avda. Pellegrini 250, (2000) Rosario, Argentina c Departamento de Sistemas, FRRO, Zevallos 1345, (2000) Rosario, Argentina |
| Abstract: | We propose a numerical-symbolic method for the approximation of periodic solutions of a type of non-linear ODE. The efficiency of our method is contrasted with the harmonic balance method and with another one which combines the differential transformation method with Padé approximants on a non trivial example: the relativistic oscillator. It is shown that our method is computationally more reliable. |
| Keywords: | Periodic solutions of non-linear ODE Relativistic oscillator |
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