A collocation method for solving some integral equations in distributions
Numerical Analysis
2011-08-29 v1 Functional Analysis
Abstract
A collocation method is presented for numerical solution of a typical integral equation Rh :=\int_D R(x, y)h(y)dy = f(x), x {\epsilon} D of the class R, whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space R^r, and D \subset R^r is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method.
Cite
@article{arxiv.1108.5221,
title = {A collocation method for solving some integral equations in distributions},
author = {Sapto W. Indratno and Alexander G. Ramm},
journal= {arXiv preprint arXiv:1108.5221},
year = {2011}
}
Comments
26 pages, 4 figures