Optimal Control Approach for Solving Linear Volterra Integral Equations

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Author(s)

Sohrab Effati 1,* Mohammad Hadi Noori Skandari 1

1. Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2012.04.06

Received: 21 May 2011 / Revised: 15 Sep. 2011 / Accepted: 3 Dec. 2011 / Published: 8 Apr. 2012

Index Terms

Volterra integral equations, Optimal control, Linear programming

Abstract

In this paper we present a new approach for linear Volterra integral equations that is based on optimal control theory. Some optimal control problems corresponding Volterra integral equation be introduced which we solve these problems by discretization methods and linear programming approaches. Finally, some examples are given to show the efficiency of approach.

Cite This Paper

Sohrab Effati, Mohammad Hadi Noori Skandari, "Optimal Control Approach for Solving Linear Volterra Integral Equations", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.4, pp.40-46, 2012. DOI:10.5815/ijisa.2012.04.06

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