Title : ( Solving nonlinear Fredholm integral equations with PQWs in complex plane )
Authors: hossein beiglo , Mortaza Gachpazan , Majid Erfanian ,
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Abstract
In this article, we propose a numerical scheme to solve a kind of nonlinear Fredholm integral equations of the second kind in the complex plane. The periodic quasi-wavelets (PQWs) constructed on [0, 2π] are utilized as a basis of iteration method. Using the Banach fixed point theorem, we obtain some results concerning the error analysis. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Keywords
, Nonlinear Fredholm integral equation; Periodic quasi, wavelet; Complex plane; Fixed point theorem; Error analysis.
@article{paperid:1084584,
author = {Beiglo, Hossein and Gachpazan, Mortaza and Majid Erfanian},
title = {Solving nonlinear Fredholm integral equations with PQWs in complex plane},
journal = {International Journal of Dynamical Systems and Differential Equations},
year = {2021},
volume = {11},
number = {1},
month = {January},
issn = {1752-3583},
pages = {18--30},
numpages = {12},
keywords = {Nonlinear Fredholm integral equation; Periodic quasi-wavelet; Complex plane; Fixed point theorem; Error analysis.},
}
%0 Journal Article
%T Solving nonlinear Fredholm integral equations with PQWs in complex plane
%A Beiglo, Hossein
%A Gachpazan, Mortaza
%A Majid Erfanian
%J International Journal of Dynamical Systems and Differential Equations
%@ 1752-3583
%D 2021
