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University of Southern Mississippi
A Comparison of Two Boundary Methods For Biharmonic Boundary Value Problems
Abstract
dc:description.abstract<p>The purpose of this thesis is to solve biharmonic boundary value problems using two different boundary methods and compare their performances. The two boundary methods used are the method of fundamental solutions (MFS) and the method of approximate fundamental solutions (MAFS). The Delta-shaped basis function with the Abel regularization technique is used in the construction of the approximate fundamental solutions in MAFS. The MFS produces more accurate results but needs known fundamental solutions for the differential operator. The MAFS can provide comparable results, and is applicable to more general differential operators. The numerical results using both methods are presented.</p>
Degree
thesis:*- Name thesis:degree_name
- Master of Science (MS)
- Level thesis:degree_level
- Masters Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2012
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Oh, Jaeyoun
- Contributors dc:contributor
-
- Haiyan Tian
- Joseph Kolibal
- James Lambers
Subjects
dc:subject × 2Identifiers
dc:identifier.*- Repository record dc:identifier
- https://aquila.usm.edu/masters_theses/508
- OAI identifier oai:identifier
- oai:aquila.usm.edu:masters_theses-1583