Affiliation:
1. Islamic Azad University
2. Damghan University
Abstract
This paper deals with a class of optimal control problems governed by linear Fredholm integral equations. A direct scheme based on the Taylor expansion and parametrization to calculate an approximate-analytical solution of the problem is proposed. This method produces an approximation with a controlled level of accuracy. Moreover, a hybrid algorithm to show the procedure of the scheme is given. The convergence of the proposed scheme is also discussed in detail. Some numerical examples illustrate the potential, efficiency and accuracy of the algorithm.
Publisher
Trans Tech Publications, Ltd.
Reference25 articles.
1. M.A. Abdou, On the solution of linear and nonlinear integral equation, Appl. Math. Comp., vol. 146, pp.857-871, (2003).
2. B. Alpert, G. Beylkin, R. Coifman and V. Rokhlin, Wavelets for the fast solution of second-kind integral equations, SIAM J. Sci. Comp., vol. 14, pp.159-184, (1993).
3. P.M. Anselone, Collectively Compact Operator Approximation Theory, Prentice-Hall, Englewood Cliffs, NJ, (1971).
4. K.E. Atkinson, A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind, SIAM, Philadelphia, PA, (1976).
5. K.E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, Cambridge, (1997).