一種基于子波神經(jīng)網(wǎng)絡(luò)的多尺度差分方程求解新方法
A NEW METHOD FOR SOLVING MSDE BASED ON WAVELET NEURAL NETWORKS
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摘要: 多尺度方程的求解是子波與多分辨分析的基礎(chǔ),本文提出了用M-帶子波神經(jīng)網(wǎng)絡(luò)求解多尺度差分方程(Multiscale Difference Equation, MSDE)的新方法.該方法與以前方法相比,具有很多優(yōu)點并且求解方程的范圍更為廣泛.
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關(guān)鍵詞:
- 子波神經(jīng)網(wǎng)絡(luò); 多尺度差分方程; M-帶正交子波基
Abstract: In this paper, a new method for solving multiscale difference equation by the M-band wavelet neural networks is proposed. It is shown that the methods in the paper have many advantages over existed methods and enlarge the range of the solvable equations by the theoretical proofs and computer simulations. -
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