Title : ( A new method for solving of Darboux problem with Haar Wavelet )
Authors: Majid Erfanian , Mortaza Gachpazan , Sajad Kosari ,
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Abstract
In this paper we h ave introduced a computational method for a class o f Darboux problem that change to two-dimensional nonlinear Volterra integral equations, based on the expansion o f the solution a s a series of Haar functions. Also, by using the Banach fixed point theorem, we get a n upper bound for the error of our method. Since our examples in this article are selected from different references, so the numerical results obtained here can be compared with other numerical methods.
Keywords
, Two, dimensional integral equations · Rationalized Haar wavelet · Operational matrix · Fixed point theorem · Error analysis
@article{paperid:1059483,
author = {Majid Erfanian and Gachpazan, Mortaza and Sajad Kosari},
title = {A new method for solving of Darboux problem with Haar Wavelet},
journal = {Boletin de la Sociedad Espanola de Matematica Aplicada},
year = {2016},
volume = {74},
number = {4},
month = {October},
issn = {2254-3902},
pages = {475--487},
numpages = {12},
keywords = {Two-dimensional integral equations · Rationalized Haar wavelet · Operational matrix · Fixed point theorem · Error analysis},
}
%0 Journal Article
%T A new method for solving of Darboux problem with Haar Wavelet
%A Majid Erfanian
%A Gachpazan, Mortaza
%A Sajad Kosari
%J Boletin de la Sociedad Espanola de Matematica Aplicada
%@ 2254-3902
%D 2016
