Date of Award
Spring 2012
Degree Type
Masters Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
Committee Chair
Haiyan Tian
Committee Chair Department
Mathematics
Committee Member 2
Joseph Kolibal
Committee Member 2 Department
Mathematics
Committee Member 3
James Lambers
Committee Member 3 Department
Mathematics
Abstract
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.
Copyright
2012, Jaeyoun Oh
Recommended Citation
Oh, Jaeyoun, "A Comparison of Two Boundary Methods For Biharmonic Boundary Value Problems" (2012). Master's Theses. 508.
https://aquila.usm.edu/masters_theses/508