Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac \delta-function
Numerical Analysis
2011-12-13 v1
Abstract
In the paper we present a functional-discrete method for solving Sturm-Liouville problems with potential including function from L_{1}(0,1) and \delta-function. For both, linear and nonlinear cases the sufficient conditions providing superexponential convergence rate of the method are obtained. The question of possible software implementation of the method is discussed in detail. The theoretical results are successfully confirmed by the numerical example included in the paper.
Cite
@article{arxiv.1112.2540,
title = {Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac \delta-function},
author = {Volodymyr Makarov and Nataliya Rossokhata and Denis Dragunov},
journal= {arXiv preprint arXiv:1112.2540},
year = {2011}
}
Comments
29 pages, 7 figures, 3 tables