- Tytuł:
- A numerical approximation of 2D coupled burgers’ equation using modified cubic trigonometric B-spline differential quadrature method
- Autorzy:
-
Kapoor, Mamta
Joshi, Varun - Powiązania:
- https://bibliotekanauki.pl/articles/2174173.pdf
- Data publikacji:
- 2022
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
równanie Burgersa
aerodynamika
fala uderzeniowa
differential quadrature method
Runge-Kutta 43 scheme
trigonometric B-spline - Opis:
- In the present paper, trigonometric B-spline DQM is applied to get the approximated solution of coupled 2D non-linear Burgers’ equation. This technique, named modified cubic trigonometric B-spline DQM, has been used to obtain accurate and effective numerical approximations of the above-mentioned partial differential equation. For checking the compatibility of results, different types of test examples are discussed. A comparison is done between 2L and L∞ error norms with the previous, present results and with the exact solution. The resultant set of ODEs has been solved by employing the SSP RK 43 method. It is observed that the obtained results are improved compared to the previous numerical results in the literature.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2022, 27, 3; 79--102
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł