Author(s)

Ailin Qian, Jianfeng Mao

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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.

Inverse Problems, Ill-Posed Problem, Fractional Numerical Differentiation, Fourier Regularization, Error Estimate

A. Qian and J. Mao, "Fourier Truncation Method for Fractional Numerical Differentiation," Applied Mathematics, Vol. 2 No. 7, 2011, pp. 914-917. doi: 10.4236/am.2011.27124.