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Virginia Tech

Numerical approximation and identification problems for singular neutral equations

Abstract

dc:description.abstract

A 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.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1994

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Cerezo, Graciela M.
Chair dc:contributor.committeechair
  • Herdman, Terry L.
Committee members dc:contributor.committeemember
  • Gunzburger, Max D.
  • Burns, John A.
  • Peterson, Janet S.
  • Cliff, Eugene M.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-09052009-040632
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/44582

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Cerezo, Graciela M.. Numerical approximation and identification problems for singular neutral equations. masters thesis, Virginia Tech, 1994. http://hdl.handle.net/10919/44582