Approximate Solution of a Class of Nonlinear Volterra Integral Equations


Authors

Hamid Reza Erfanian - Department of Mathematics and Statistics, University of Science and Culture, Tehran, Iran Touraj Mostahsan - Department of Mathematics and Statistics, University of Science and Culture, Tehran, Iran


Abstract

In this paper we introduce an approach by an optimization method to find approximate solution for a class of nonlinear Volterra integral equations of the first and second kind. To this purpose, we consider two stages of approximation. First we convert the integral equation to a moment problem and then we modify the new problem to two classes of optimization problems, non-constraint optimization problems and optimal control problems. Finally numerical examples is proposed.


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ISRP Style

Hamid Reza Erfanian, Touraj Mostahsan, Approximate Solution of a Class of Nonlinear Volterra Integral Equations, Journal of Mathematics and Computer Science, 3 (2011), no. 3, 278--286

AMA Style

Erfanian Hamid Reza, Mostahsan Touraj, Approximate Solution of a Class of Nonlinear Volterra Integral Equations. J Math Comput SCI-JM. (2011); 3(3):278--286

Chicago/Turabian Style

Erfanian, Hamid Reza, Mostahsan, Touraj. "Approximate Solution of a Class of Nonlinear Volterra Integral Equations." Journal of Mathematics and Computer Science, 3, no. 3 (2011): 278--286


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