# Solving volterra integral equation via nonlinear programming

## DOI:

https://doi.org/10.14419/ijamr.v5i4.6724## Published:

2016-11-15## Keywords:

Volterra integral equations, Optimization, Non linear programming## Abstract

In this paper we propose an approach to find approximate solution to the nonlinear Volterra integral equation of the second type through a nonlinear programming technique by firstly converting the integral equation into a least square cost function as an objective function for an unconstrained nonlinear programming problem which solved by a nonlinear programming technique (The preconditioned limited- memory quasi-Newton conjugates, gradient method) and as far as we read this is a new approach in the ways of solving the nonlinear Volterra integral equation. We use Maple 11 software as a tool for performing the suggested steps in solving the examples.

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