On discrete fundamental solution of nonuniform time step for the heat equation.
碩士 === 國立中興大學 === 應用數學系所 === 100 === In this thesis, we consider the Crank-Nicholson scheme and derive some properties of its discrete fundamental solutions on the mesh with nonuniform time steps. Then with these properties, we are able to establish error bounds in $L^{1}$ and $L^{infty}$ norms for...
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| Format: | Others |
| Language: | en_US |
| Published: |
2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/14862032357711730734 |
| Summary: | 碩士 === 國立中興大學 === 應用數學系所 === 100 === In this thesis, we consider the Crank-Nicholson scheme and derive some properties of its discrete fundamental solutions on the mesh with nonuniform time steps. Then with these properties, we are able to establish error bounds in $L^{1}$ and $L^{infty}$ norms for the difference between discrete fundamental solution and the heat kernel.
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