Resumen de An exponentially convergent functional-discrete method for solving Sturm�Liouville problems with a potential including the Dirac -function
V. L. Makarov, N.O. Rossokhata, D.V. Dragunov
In this paperwepresent a functional-discrete method for solving Sturm�Liouville problems with a potential that includes a function from L1(0, 1) and the Dirac ä-function. For both the linear and the nonlinear case sufficient conditions for an exponential rate of convergence of the method are obtained. The question of a possible software implementation of the method is discussed in detail. The theoretical results are successfully confirmed by a numerical example.
