Title : ( Apply fixed point theorem for solving of nonlinear Volterra integral equation with Harr wavelet )
Authors: M. Erfanian , Mortaza Gachpazan ,
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Abstract
In this article, we present a method for numerical approximation of fixed point operator, particularly for the integral one associated to a nonlinear Volterra integral equation, which use s the properties of rationalized Haar wavelets. The main tools for error analysis is Banach fixed point theorem. Furthermore, the order of convergence is analyzed. Some numerical examples are included to support the theory.
Keywords
NonlinearVolterra integral equation; Rationalized Haar wavelet; Operational matrix; fixed point theorem.
@inproceedings{paperid:1066940,
author = {M. Erfanian and Gachpazan, Mortaza},
title = {Apply fixed point theorem for solving of nonlinear Volterra integral equation with Harr wavelet},
booktitle = {The First National Conference in Mathematics and Its Application in Science and Industry},
year = {2016},
location = {زاهدان, IRAN},
keywords = {NonlinearVolterra integral equation; Rationalized Haar wavelet; Operational matrix; fixed point theorem.},
}
%0 Conference Proceedings
%T Apply fixed point theorem for solving of nonlinear Volterra integral equation with Harr wavelet
%A M. Erfanian
%A Gachpazan, Mortaza
%J The First National Conference in Mathematics and Its Application in Science and Industry
%D 2016
