Iranian Journal of Numerical Analysis and Optimization, Volume (4), No (2), Year (2014-10) , Pages (73-83)

Title : ( Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations )

Authors: Mortaza Gachpazan , majid erfanian , hossein beiglo ,

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Abstract

In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is worked using property of interpolation. Finally, some examples are given to compare the results with some of the existing methods.

Keywords

, Nonlinear Volterra integro, differential equation; Legendre polynomial; Error analysis.
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@article{paperid:1045019,
author = {Gachpazan, Mortaza and Erfanian, Majid and Beiglo, Hossein},
title = {Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations},
journal = {Iranian Journal of Numerical Analysis and Optimization},
year = {2014},
volume = {4},
number = {2},
month = {October},
issn = {2423-6977},
pages = {73--83},
numpages = {10},
keywords = {Nonlinear Volterra integro-differential equation; Legendre polynomial; Error analysis.},
}

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%0 Journal Article
%T Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
%A Gachpazan, Mortaza
%A Erfanian, Majid
%A Beiglo, Hossein
%J Iranian Journal of Numerical Analysis and Optimization
%@ 2423-6977
%D 2014

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