University of Southern Mississippi
A Comparison of Two Different Methods for Solving Biharmonic Boundary Valve Problems
Abstract
dc:description.abstract<p>We use the methods of compactly supported radial basis functions (CS-RBFs) and Delta-shaped basis functions (DBFs) to obtain the numerical solution of a two-dimensional biharmonic boundary value problem. The biharmonic equation is difficult to solve due to its existing fourth order derivatives, besides it requires more than one boundary conditions on the same part of the boundary. In this thesis, we use either a one-level or a two-level technique for constructing the approximate solution in the context of Kansa’s collocation method. This thesis will compare the accuracy of the methods of CS-RBFs and DBFs when applied to the biharmonic boundary value problem. Both methods can be used on an irregular shaped domain. Numerical results show that the DBF approach is superior than that of the CS-RBF.</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
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Richardson, Megan LaShea
- Contributors dc:contributor
-
- Haiyan Tan
- Joseph Kolibal
- C.S. Chen
Subjects
dc:subject × 2Identifiers
dc:identifier.*- Repository record dc:identifier
- https://aquila.usm.edu/masters_theses/213
- OAI identifier oai:identifier
- oai:aquila.usm.edu:masters_theses-1238