Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization
Abstract: In this work we propose a new method for solving linear elliptic equations in an unbounded domain. The method is based on the representation of the exact solution as the sum of two functions. The former is the solution of some auxiliary problem and the latter can be found using the Green formula. Using finite-difference schemes, this method has a quadratic order of accuracy independent of the size of the computational domain, and in the 2D case requires O (N³) operations to find the solution, where N³ is the number of nodes within the computational domain. In the 3D case the method requires O (N^4) operations. Test computational examples showing the method's efficiency are given.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization ; volume:5 ; number:3 ; year:2005 ; pages:259-275
Computational methods in applied mathematics ; 5, Heft 3 (2005), 259-275
- Creator
-
Galanin, Mikhail M.
Nizkaya, Tatiana V.
- DOI
-
10.2478/cmam-2005-0013
- URN
-
urn:nbn:de:101:1-2410261616247.345981646967
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:22 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Galanin, Mikhail M.
- Nizkaya, Tatiana V.
Other Objects (12)
Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization
Discretization of backward stochastic Volterra integral equations
Discretization of Liouville type nonautonomous equations preserving integrals
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
On the efficient discretization of integral equations of the third kind
Hyers–Ulam stability of integral equations with infinite delay
Infinite Geraghty type extensions and their applications on integral equations
ON AN INFINITE SYSTEM OF INTEGRAL EQUATIONS WITH DEVIATED ARGUMENT
Discretization of Toroidal Soliton Equations
Discretization in differential equations and enclosures
On the discretization of Laine equations
INTEGRAL INEQUALITIES ON INFINITE INTERVALS
Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization
Discretization of backward stochastic Volterra integral equations
Discretization of Liouville type nonautonomous equations preserving integrals
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
On the efficient discretization of integral equations of the third kind
Hyers–Ulam stability of integral equations with infinite delay
Infinite Geraghty type extensions and their applications on integral equations
ON AN INFINITE SYSTEM OF INTEGRAL EQUATIONS WITH DEVIATED ARGUMENT
Discretization of Toroidal Soliton Equations
Discretization in differential equations and enclosures
On the discretization of Laine equations
INTEGRAL INEQUALITIES ON INFINITE INTERVALS
Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization
Discretization of backward stochastic Volterra integral equations
Discretization of Liouville type nonautonomous equations preserving integrals
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
On the efficient discretization of integral equations of the third kind
Hyers–Ulam stability of integral equations with infinite delay
Infinite Geraghty type extensions and their applications on integral equations
ON AN INFINITE SYSTEM OF INTEGRAL EQUATIONS WITH DEVIATED ARGUMENT
Discretization of Toroidal Soliton Equations
Discretization in differential equations and enclosures
On the discretization of Laine equations