An exponentially convergent functional-discrete method for solving Sturm�Liouville problems with a potential including the Dirac -function

• Autores: V. L. Makarov, N.O. Rossokhata, D.V. Dragunov
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 250, Nº 1, 2013, págs. 39-57
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.02.015
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.