Obiekt
Tytuł: An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems
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Abstract:
In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value problems. This replacement is significant from the computational point of view. ; The classical fourth order Runge-Kutta method is used to solve these initial value problems. This approach to solve singularly perturbed boundary-value problems is numerically very appealing. To demonstrate the applicability of this method, we have applied it on several linear examples with left-end boundary layer and right-end layer. From the numerical results, the method seems accurate and solutions to problems with extremely thin boundary layers are obtained.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
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DOI:
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Źródło:
IJAME, volume 25, number 1 (2020)
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Licencja CC BY-NC-ND 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Mechaniczny
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mechanics and Engineering (IJAME)
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2020)
Data ostatniej modyfikacji:
2023-07-06
Data dodania obiektu:
2023-02-09
Liczba wyświetleń treści obiektu:
87
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/77729
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020)
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| Nazwa wydania | Data |
|---|---|
| An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems | 2023-07-06 |
