Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac δ-function

Details Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac δ-function Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac δ-function

2011-12-12

arxiv.org/abs/1112.2540v1

Mathematics

Numerical Analysis

29 pages, 7 figures, 3 tables

Scientific paper

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.

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