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Approximate solution of nonlinear integral Hammerstein equations by projection method using multiwavelets.

Authors :
Tamabay, Dinara
Temirbekov, Nurlan
Zhumagulov, Bakytzhan
Source :
AIP Conference Proceedings. 2023, Vol. 2879 Issue 1, p1-6. 6p.
Publication Year :
2023

Abstract

In this paper, we will consider an approximate solution of nonlinear integral Hammerstein equation by using Legendre wavelets in order to solve by Bubnov-Galerkin method. There are will be described the procedure of obtaining Legendre wavelets, its application as a basis for projection method. Theorem about solution of system of nonlinear equations will be considered, which was obtained after using Bubnov-Galerkin method. Finally numerical calculations and visualization of results will be made to show the efficiency of this method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2879
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
172873374
Full Text :
https://doi.org/10.1063/5.0175541