Creator:

Bondarenko, Victor ; Bidyuk, Petro ; Bernatska, Julia

Contributor:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Title:

Solving parabolic equations by using the method of fast convergent iterations

Group publication title:

AMCS, volume 10 (2000)

Subject and Keywords:

parabolic equations ; fundamental solution ; Riemannian manifold ; rate of convergence ; iteration technique ; numerical simulation

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2000

Resource Type:

artykuł

Pages:

333-344

Source:

AMCS, volume 10, number 2 (2000) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego