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In the paper we present a functional-discrete method for solvingSturm-Liouville problems with potential including function from L_{1}(0,1) and\delta-function. For both, linear and nonlinear cases the sufficient conditionsproviding superexponential convergence rate of the method are obtained. Thequestion of possible software implementation of the method is discussed indetail. The theoretical results are successfully confirmed by the numericalexample included in the paper.

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