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Title: Solving parabolic equations by using the method of fast convergent iterations

Creator:

Bondarenko, Victor ; Bidyuk, Petro ; Bernatska, Julia

Date:

2000

Resource Type:

artykuł

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, volume 10 (2000)

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

Resource Identifier:

oai:zbc.uz.zgora.pl:58726

Pages:

333-344

Source:

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

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

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

Object collections:

Last modified:

Nov 5, 2024

In our library since:

Jul 16, 2021

Number of object content hits:

62

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/65503

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Edition name Date
Solving parabolic equations by using the method of fast convergent iterations Nov 5, 2024

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