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| A new method of multiresolution finite difference for wave equation |
| Revised:September 12, 2000 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20024082 |
| KeyWord:wave function,wavelet transform,multiresolution,finite difference |
| Ma Jianwei 1 Zhu Yaping 2 Yang Huizhu 1 Xu Xinsheng 3 |
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| Abstract: |
| Wavelet transform is one kind of multi\|resolution analytical methods. This paper is devoted to the resolution of wave function, using a spatial multi\|resolution approximation to the finite differential scheme generated by the orthogonal compactly supported wavelet transform. A new method named Multi\|resolution Finite Difference is proposed to solve the problem of wave propagation in the multi\|layered medium. It is thus that the problem is solved in the wavelet domain rather than the traditional Euclidean space. Due to adaptive and vanishing moment property of the wavelet basis, it is a promising method because of some advantages such as large velocity range, little computational burden, and efficiency of convergence and robustness. The numerical results show effectiveness and potential of the method. A new solution procedure for the research of wave function is put forward. |
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