Computational and Applied Mathematics, ( ISI ), Volume (36), No (3), Year (2016-1) , Pages (1349-1365)

Title : ( A new approach for numerical solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm integral equation by Bezier curves )

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Abstract

In this paper, we present Bezier curves method to solve Volterra delay-integrodifferential equations. Also, this paper is concerned with a linear system with distributed input delay and input saturation. The approximation process by Bezier curves method is done in two steps. First we divide the time interval into 2k subintervals, second approximate the trajectory and control functions in each subinterval by Bezier curves.

Keywords

Numerical solution · Time delay · Distributed input delay · Input saturation · Bezier curves · Dynamic system
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@article{paperid:1057332,
author = {},
title = {A new approach for numerical solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm integral equation by Bezier curves},
journal = {Computational and Applied Mathematics},
year = {2016},
volume = {36},
number = {3},
month = {January},
issn = {0101-8205},
pages = {1349--1365},
numpages = {16},
keywords = {Numerical solution · Time delay · Distributed input delay · Input saturation · Bezier curves · Dynamic system},
}

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%0 Journal Article
%T A new approach for numerical solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm integral equation by Bezier curves
%A
%J Computational and Applied Mathematics
%@ 0101-8205
%D 2016

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