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A wavelet method for numerical fractional derivative with noisy data - MaRDI portal

A wavelet method for numerical fractional derivative with noisy data (Q2819178)

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scientific article; zbMATH DE number 6630609
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A wavelet method for numerical fractional derivative with noisy data
scientific article; zbMATH DE number 6630609

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    A wavelet method for numerical fractional derivative with noisy data (English)
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    28 September 2016
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    fractional derivative
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    numerical fractional differentiation
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    noisy function
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    ill-posed problem
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    wavelet regularization method
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    choice of regularization parameter
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    Meyer wavelet
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    numerical examples
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    Using a wavelet regularization method with Meyer wavelets, the authors compute the fractional derivative of a noisy function. Both a priori and a posteriori choice rules for the regularization parameter are given. Numerical examples illustrate the performance of this method.
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