Open AccessSolving volterra integral equation via nonlinear programming
Author(s) -
Jamal Othman
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i4.6724
Subject(s) - mathematics , nonlinear system , volterra integral equation , nonlinear programming , integral equation , mathematical optimization , function (biology) , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology
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.