Accurate integration of forced and damped oscillators

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Title: Accurate integration of forced and damped oscillators
Authors: García-Alonso, Fernando | Cortés-Molina, Mónica | Villacampa, Yolanda | Reyes, José Antonio
Research Group/s: Modelización Matemática de Sistemas
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Numerical solutions of ODE’s | Perturbed and damped oscillators | Initial Value Problems (IVP)
Knowledge Area: Matemática Aplicada
Issue Date: 2016
Publisher: University Politehnica of Bucharest
Citation: Scientific Bulletin. Series A, Applied Mathematics and Physics. 2016, 78(2): 193-204
Abstract: The new methods accurately integrate forced and damped oscillators. A family of analytical functions is introduced known as T-functions which are dependent on three parameters. The solution is expressed as a series of T-functions calculating their coefficients by means of recurrences which involve the perturbation function. In the T-functions series method the perturbation parameter is the factor in the local truncation error. Furthermore, this method is zero-stable and convergent. An application of this method is exposed to resolve a physic IVP, modeled by means of forced and damped oscillators. The good behavior and precision of the methods, is evidenced by contrasting the results with other-reputed algorithms implemented in MAPLE.
URI: http://hdl.handle.net/10045/55291
ISSN: 1223-7027 (Print) | 2286-3672 (Online)
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2016 University Politehnica of Bucharest
Peer Review: si
Publisher version: http://www.scientificbulletin.upb.ro/SeriaA_-_Matematica_si_fizica_aplicate.php
Appears in Collections:INV - MMS - Artículos de Revistas

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