- Tytuł:
- Solving Parabolic Equations by Using the Method of Fast Convergent Iterations
- Autorzy:
-
Bondarenko, V.
Bidyuk, P.
Bernatska, J. - Powiązania:
- https://bibliotekanauki.pl/articles/911186.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
fundamental solution
Riemannian manifold
rate of convergence
iteration technique
numerical simulation
parabolic equations
równanie paraboliczne
rozwiązanie podstawowe
symulacja numeryczna - Opis:
- The paper describes an approach to solving parabolic partial differential equations that generalizes the well-known parametrix method. The iteration technique proposed exhibits faster convergence than the classical parametrix approach. A solution is constructed on a manifold with the application of the Laplace-Beltrami operator. A theorem is formulated and proved to provide a basis for finding a unique solution. Simulation results illustrate the superiority of the proposed approach in comparison with the classical parametrix method.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 333-344
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł