The Application of Generalized Finite Difference Formulas in Hyperbolic Partial Differential Equation
碩士 === 大同工學院 === 機械工程研究所 === 86 === In the first place , this study is employed the Taylor's theorem informing difference approximations to first-order partial derivatives.Then , the Taylor's series expansion of a function is employed in theneighborhood of two points to derive t...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/77578465549506016066 |
| Summary: | 碩士 === 大同工學院 === 機械工程研究所 === 86 === In the first place , this study is employed the Taylor's theorem informing difference approximations to first-order partial derivatives.Then , the Taylor's series expansion of a function is employed in theneighborhood of two points to derive the three point finite differenceformulas which consist of undetermined parameters and express inlinear and nonlinear formulation. By determining these parameters , it can get some old methods andsome new methods . Then , three examples of first-order hyperbolicpartial equation are performed to compare all existing methods with one another.
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