Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point

• Autorzy: Sobchuk Valentyn , Zelenska Iryna , Laptiev Oleksandr

Identyfikatory

DOI

10.24425/bpasts.2023.145682

• Języki publikacji: EN

Abstrakty

EN

The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described by systems of differential equations of a special class, which belong to the group of so-called singularly perturbed differential equations. Mathematical models of processes described by such differential equations contain a small parameter near the highest derivatives, and it was the presence of this small factor that led to the creation of a large mathematical theory. The work proposes a developed algorithm for constructing uniform asymptotics of solutions to systems of singularly perturbed differential equations.

Słowa kluczowe

EN

singular perturbations; asymptotics; Airy-Langer functions; small parameter; turning points

PL

punkt zwrotny; funkcje Airy'ego-Langera; asymptota; perturbacja singularna; parametr niski

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2023
• Tom: Vol. 71, nr 3
• Strony: art. no. e145682
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Sobchuk Valentyn

• Taras Shevchenko National University of Kyiv, Ukraine

• https://orcid.org/0000-0002-4002-8206

autor

Zelenska Iryna

• Taras Shevchenko National University of Kyiv, Ukraine

• https://orcid.org/0000-0002-7784-1030

autor

Laptiev Oleksandr

• Taras Shevchenko National University of Kyiv, Ukraine

• https://orcid.org/0000-0002-4194-402X

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).