Fourier Truncation Method for Fractional Numerical Differentiation

Ailin Qian, Jianfeng Mao

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DOI: 10.4236/am.2011.27124                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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