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On One Iterative Method for Solving the Difference Scheme for Quasilinear Elliptic Equation.

Authors :
Meladze, Hamlet
Davitashvili, Tinatin
Source :
Computer Science & Telecommunications; 2022, Vol. 61 Issue 1, p44-49, 6p
Publication Year :
2022

Abstract

The present article considers the iterative method for the numerical solution of the Dirichlet problem for quasilinear elliptic equation. For constructing the iterative method, the difference analog of the Grin function for the Laplace operator is used. The uniform convergence of the iterative method is proved, as well as the convergence of the solution of the difference scheme to the exact solution of the initial differential problem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15121232
Volume :
61
Issue :
1
Database :
Supplemental Index
Journal :
Computer Science & Telecommunications
Publication Type :
Academic Journal
Accession number :
161023857