Title : ( A numerical scheme for Fredholm integral equations )
Authors: A.R.Nazemi , Mohammad Hadi Farahi ,
Full TextAbstract
Abstract. A different numerical method for nonlinear Fredholm integral equations of the second kind with the continuous kernel is considered. The main idea is to convert the integral equation problem into an optimization problem. Then by using an embedding method, the class of admissible trajectories is replaced by a class of positive Borel measures. The optimization problem in measure space is then approximated by a finite dimensional linear programming (LP) problem. Some examples demonstrate the effectiveness of the method.
Keywords
Keywords: Fredholm integral equation; Functional space; Measure space; Approximation; Linear programming.
@article{paperid:1020004,
author = {A.R.Nazemi and Farahi, Mohammad Hadi},
title = {A numerical scheme for Fredholm integral equations},
journal = {Journal of Advance Research in Applied Mathematics},
year = {2011},
volume = {3},
number = {1},
month = {February},
issn = {1942-9649},
pages = {47--62},
numpages = {15},
keywords = {Keywords: Fredholm integral equation; Functional space; Measure space; Approximation; Linear
programming.},
}
%0 Journal Article
%T A numerical scheme for Fredholm integral equations
%A A.R.Nazemi
%A Farahi, Mohammad Hadi
%J Journal of Advance Research in Applied Mathematics
%@ 1942-9649
%D 2011
