Numerical solutions for a class of singular integrodifferential equations

In this study, we consider numerical schemes for a class of singular integrodifferential equations with a nonatomic difference operator. Our interest in this particular class has been motivated by an application in aeroelasticity. By applying nonconforming finite element methods, we are able to establish convergence for a semi-discrete scheme. We use an ordinary differential equation solver for the semi-discrete scheme and then improve the result by using a fully discretized scheme. We report our numerical findings and comment on the rates of convergence.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1996

Author dc:creator

• Chiang, Shihchung

Chair dc:contributor.committeechair

• Herdman, Terry L.

Committee members dc:contributor.committeemember

• Burns, John A.
• Hannsgen, Kenneth B.
• Cliff, Eugene M.
• Peterson, Janet S.

• Finite element method
• singular integrodifferential equation
• rate of convergence

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-06062008-151231

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/37994