Numerical solutions of nonlinear elliptic problem using combined-block iterative methods
- UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
- Fang Liu (Creator)
- Institution
- The University of North Carolina Wilmington (UNCW )
- Web Site: http://library.uncw.edu/
Abstract: This thesis is concerned with iterative and monotone methods for numerical
solutions of nonlinear elliptic boundary value problems. The methods we study here
are called block iterative methods, which solve the nonlinear elliptic problems in twodimensional
domain in R2 or higher dimensional domain in Rn. In these methods the
nonlinear boundary value problem is discretized by the finite difference method. Two
iteration processes, block Jacobi and block Gauss-Seidel monotone iterations, are
investigated for computation of solutions of finite difference system using either an
upper solution or a lower solution as the initial iteration. The numerical examples are
presented for both linear and nonlinear problems, and for both block and pointwise
methods. The numerical results are compared and discussed.
Numerical solutions of nonlinear elliptic problem using combined-block iterative methods
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Created on 1/1/2009
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Additional Information
- Publication
- Thesis
- A Thesis Submitted to the University of North Carolina Wilmington in Partial Fulfillment of the Requirements for the Degree of Master of Science
- Language: English
- Date: 2009
- Keywords
- Boundary value problems, Differential equations, Elliptic, Differential equations, Elliptic--Numerical solutions, Iterative methods (Mathematics), Nonlinear theories
- Subjects
- Boundary value problems
- Iterative methods (Mathematics)
- Nonlinear theories
- Differential equations, Elliptic
- Differential equations, Elliptic -- Numerical solutions