Title : ( Using of 2D RH wavelets for solving of 2D nonlinear Volterra-Fredholm integral equations )
Authors: M. Erfanian , Mortaza Gachpazan ,
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Abstract
In this paper we have introduced a computational method for a class of two-dimensional nonlinear Volterra-Fredholm integral equations, based on the eطpansion of two-dimensional Haar wavelets. To achieve this aim it is necessary to define the integral operator. The Banach fixed point theorem guarantees that under certain assumptions this operator has an unique fixed point. Since our examples in this article are selected from different references, thus the numerical examples illustrate the efficiency and accuracy with other numerical methods.
Keywords
, Two, dimensional integral equations; Rationalized Haar wavelet; Operational matrix; Fixed point theorem; Error analysis
@inproceedings{paperid:1066937,
author = {M. Erfanian and Gachpazan, Mortaza},
title = {Using of 2D RH wavelets for solving of 2D nonlinear Volterra-Fredholm integral equations},
booktitle = {The 6th Seminar on Numerical Analysis and Its Applications},
year = {2016},
location = {مراغه, IRAN},
keywords = {Two-dimensional integral equations; Rationalized Haar wavelet; Operational matrix; Fixed point theorem; Error analysis},
}
%0 Conference Proceedings
%T Using of 2D RH wavelets for solving of 2D nonlinear Volterra-Fredholm integral equations
%A M. Erfanian
%A Gachpazan, Mortaza
%J The 6th Seminar on Numerical Analysis and Its Applications
%D 2016
