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Title page for etd-0211111-201356


URN etd-0211111-201356 Statistics This thesis had been viewed 1641 times. Download 2 times.
Author Jian-Bo Jhu
Author's Email Address No Public.
Department Math
Year 2010 Semester 1
Degree Master Type of Document Master's Thesis
Language zh-TW.Big5 Chinese Page Count 30
Title Solving Elliptic Partial Differential Equations by Fundamental Solutions with Radial Basis Functions
Keyword
  • method of fundamental solution
  • particular solution.
  • radial basis functions
  • meshless method
  • meshless method
  • radial basis functions
  • particular solution.
  • method of fundamental solution
  • Abstract ABSTRACT
    Unlike traditional ways of two stages of searching for particular solution and homogeneous solution of elliptic partial differential equation, we use the method of fundamental solution (MFS) with Multiquadric (MQ), one of radial basis functions (RBF), which is a new combination of meshless method. The particular solution and homogeneous solution can be solved by a linear matrix system through this new formulation. The numerical results of several examples of two dimensional Poisson equation and Helmholtz equation with Dirichlet condition are computed. In addition to the above method, the Kansa’s method of three different kinds of radial basis functions (RBF) are also applied to these examples. We illustrate and compare the accuracy and stability of these two numerical methods.
    Advisor Committee
  • Fuh-Gwo Wang - advisor
  • Lu-han Chuang, - co-chair
  • Weng-Seng Heng - co-chair
  • Files indicate in-campus access only
    Date of Defense 2011-01-20 Date of Submission 2011-02-14


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