- Tytuł:
- A robust computational technique for a system of singularly perturbed reaction–diffusion equations
- Autorzy:
-
Kumar, V.
Bawa, R. K.
Lal, A. K. - Powiązania:
- https://bibliotekanauki.pl/articles/330202.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
asymptotic expansion approximation
backward difference operator
trapezoidal method
piecewise uniform Shishkin mesh
rozwinięcie asymptotyczne
operator różnicowy
metoda trapezowa - Opis:
- In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 387-395
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki