Numerical solution of a certain type of integral equations on the real half-line
Numerical Analysis
2008-09-15 v1 Classical Analysis and ODEs
Abstract
We develop a numerical method for solving a system of nonlinear integral equations involving two integral terms: at the current time t, one integral is taken from 0 to t, and a different integral is taken from t to infinity. We prove the convergence and the rate of convergence of our method. The discretization results in an infinite-dimensional nonlinear system, and we also prove results on the approximation of the solution of the infinite-dimensional system by solution of finite truncations.
Cite
@article{arxiv.0809.2125,
title = {Numerical solution of a certain type of integral equations on the real half-line},
author = {S. A. Belbas},
journal= {arXiv preprint arXiv:0809.2125},
year = {2008}
}
Comments
21 pages