The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain
Artykuł naukowy w czasopiśmie recenzowanyCzasopismo: Symmetry-Basel (ISSN: 2073-8994)
Współautorzy: Victor Orlov
Rok wydania: 2023
Tom: 15
Numer czasopisma: 6
Strony od-do: 1200
Streszczenie: In this paper, we substantiate the analytical approximate method for Cauchy problem of the Van der Pol equation in the complex domain. These approximate solutions allow analytical continuation for both real and complex cases. We follow the influence of variation in the initial data of the problem in order to control the computational process and improve the accuracy of the final results. Several simple applications of the method are given. A numerical study confirms the consistency of the developed method.
Słowa kluczowe: nonlinear differential equation of the second order; movable singular point; analytical approximate solution
DOI: https://doi.org/10.3390/sym15061200
Cytowanie w formacie Bibtex:
@article{1,
author = "Aliaksandr Chychuryn and Victor Orlov",
title = "The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain",
journal = "Symmetry-Basel",
year = "2023",
number = "6",
pages = "1200"
}
Cytowanie w formacie APA:
Chychuryn, A. and Victor Orlov(2023). The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain. Symmetry-Basel, 6, 1200.