- Tytuł:
- Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point
- Autorzy:
-
Sobchuk, Valentyn
Zelenska, Iryna
Laptiev, Oleksandr - Powiązania:
- https://bibliotekanauki.pl/articles/27311440.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
singular perturbations
asymptotics
Airy-Langer functions
small parameter
turning points
punkt zwrotny
funkcje Airy'ego-Langera
asymptota
perturbacja singularna
parametr niski - Opis:
- 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.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 3; art. no. e145682
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł