Monte Carlo Simulation to Solve the Linear Volterra Integral Equations of The Second Kind

This paper is intended to provide a numerical algorithm based on random sampling for solving the linear Volterra integral equations of the second kind. This method is a Monte Carlo (MC) method based on the simulation of a continuous Markov chain. To illustrate the usefulness of this technique we app...

Full description

Bibliographic Details
Main Authors: M. Ebrahimi, R. Farnoosh
Format: Article
Language:English
Published: Iran University of Science & Technology 2010-04-01
Series:International Journal of Industrial Engineering and Production Research
Subjects:
Online Access:http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-56&slc_lang=en&sid=1
Description
Summary:This paper is intended to provide a numerical algorithm based on random sampling for solving the linear Volterra integral equations of the second kind. This method is a Monte Carlo (MC) method based on the simulation of a continuous Markov chain. To illustrate the usefulness of this technique we apply it to a test problem. Numerical results are performed in order to show the efficiency and accuracy of the present method.
ISSN:2008-4889
2345-363X