STUDY FOR APPLICABILITY TO DIFFERENCIAL EQUATION USING THE WAVELET TRANSFORM

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  • ウェーブレット変換の微分方程式への適用性の研究
  • ウェーブレット ヘンカン ノ ビブン ホウテイシキ エ ノ テキヨウセイ ノ

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The formulation for solution of equation of motion is shown using the wavelet transform, assuming periodicity of equation system. Then, the results of the derivative of I. Daubechies and Y. Meyer's scaling functions and the connection coefficients which are necessary for solving of equation are shown, and the characteristics of these functions are discussed. Moreover, examples of the numerical calculation concerning with the initial value and boundary value problems are shown and compared with existing method, and it is clear that wavelet based method shows high accuracy.

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