Cerezo, Graciela M.2014-03-142014-03-141994-04-25etd-09052009-040632http://hdl.handle.net/10919/44582A collocation technique in non-polynomial spline space is presented to approximate solutions of singular neutral functional differential equations (SNFDEs). Using solution representations and general well-posedness results for SNFDEs convergence of the method is shown for a large class of initial data including the case of discontinuous initial function. Using this technique, an identification problem is solved for a particular SNFDE. The technique is also applied to other different examples. Even for the special case in which the initial data is a discontinuous function the identification problem is successfully solved.vi, 43 leavesBTDapplication/pdfenIn CopyrightLD5655.V855 1994.C474Approximation theoryCollocation methodsFunctional differential equations -- Numerical solutionsThesishttp://scholar.lib.vt.edu/theses/available/etd-09052009-040632/