A computational approach for approximate optimal control of nonlinear Volterra integral equations

Document Type : Original Paper


Department of Applied Mathematics, Faculty of Science, University of Science and Technology of Mazandaran, Behshahr, Iran


In this paper, a new method for solving optimal control problems governed

by nonlinear Volterra integral equations is presented. First by converting to

a discretized form, the problem is considered as a quasi assignment problem and then an iterative method is applied to find approximate solution

for discretized form of the integral equation. Next step using evolutionary

algorithms, approximate solution of optimal control problems is obtained.

An analysis for convergence of the proposed iterative method and its implementation for numerical examples are also given.


Main Subjects

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