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| Numerical solution for differential evolutional equation using adaptive interpolation wavelet method |
| Received:December 23, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20101011 |
| KeyWord:wavelet analysis partial differential equation numerical solution shock wave Burgers equation |
| Author | Institution |
| 宗智 |
大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 船舶学院,大连 |
| 赵勇 |
大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 船舶学院,大连 |
| 邹文楠 |
南昌大学 工程力学研究所,南昌 |
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| Abstract: |
| A wavelet interpolating expression for a given function is obtained using interpolating property of autocorrelation of wavelet function, and then we take differentiation to this expression to calculate the function’s derivative. Thus, differentiation calculation is not operated by difference, but by wavelet bases, therefore, it intensifies wavelet method’s application in numerical solution of differential equation. With the aid of compactly wavelet bases, wavelet method can solve differential equation with local sharp transition solution effectively. The adaptation of solution process is realized by setting a threshold value for wavelet coefficients. Two examples including a two dimensional Burgers equation, were given in this paper to demonstrate effectiveness of this algorithm and its extension in two dimensional space. |
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