Pseudospectral penalty method for fourth order partialdifferential equations
碩士 === 國立中興大學 === 應用數學系所 === 105 === In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix pro...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2016
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| Online Access: | http://ndltd.ncl.edu.tw/handle/27937539640086616117 |
| Summary: | 碩士 === 國立中興大學 === 應用數學系所 === 105 === In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix properties. Then we give some examples to test the convergence rate of the proposed method.
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