| Summary: | 碩士 === 輔仁大學 === 數學系研究所 === 84 === The purpose of this thesis is to compare and research he numerical solution
sof PDE problem. We use the finite difference method and the techniques of the
Method of lines to compare the differences with Burgers' equation solutions.
For the finite difference method, the different iterative methods are used to
solvethe linear system. We also introduce the origin motivation of the Method
of lines, and use the numerical experiments to explain the efficiency between
the Method of linesand the finite difference method. Finally, we provied and s
uggest a effective methodto solve a large and complicated system.
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