Accurate integration of forced and damped oscillators
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Title: | Accurate integration of forced and damped oscillators |
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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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