Karoui, Abderrazek.2009-03-232009-03-2319921992Source: Masters Abstracts International, Volume: 32-01, page: 0257.9780315800229http://hdl.handle.net/10393/7673http://dx.doi.org/10.20381/ruor-6910A numerical method for the treatment of non-vanishing lag state dependent delay differential equations is developed in this work. This method is based on a (5,6) Runge-Kutta formula pair. The delayed term is approximated by a three-point Hermite polynomial. In order to obtain a highly accurate numerical scheme, special attention is given to the characterization and the localization of the derivative jump discontinuities of the solution. Some real-life problems are used to test the new method and compare it with existing ones.88 p.Mathematics.Thesis