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Fourier Truncation Method for Fractional Numerical Differentiation
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Abstract
We consider a ill-posed problem-fractional numerical differentiation with a new method. We propose Fourier truncation method to compute fractional numerical derivatives. A Holder-type stability estimate is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.
KeywordsInverse ProblemsIll-Posed ProblemFractional Numerical DifferentiationFourier RegularizationError Estimate
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