A wavelet method for numerical fractional derivative with noisy data

DOI10.1142/S0219691316500387zbMath1351.65016OpenAlexW2465992547MaRDI QIDQ2819178

Qiang Cheng, Yanfeng Kong, Jin Wen, Xiang-Tuan Xiong

Publication date: 28 September 2016

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691316500387

zbMATH Keywords

numerical examplesill-posed problemfractional derivativenoisy functionMeyer waveletchoice of regularization parameterwavelet regularization methodnumerical fractional differentiation

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical differentiation (65D25) Numerical methods for inverse problems for integral equations (65R32)

Related Items (1)

An a posteriori wavelet method for solving two kinds of ill-posed problems

Cites Work

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• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• Wavelets and high order numerical differentiation
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• A new approach to numerical differentiation and integration
• Variable-order fractional numerical differentiation for noisy signals by wavelet denoising
• On stable numerical differentiation
• Wavelet projection methods for solving pseudodifferential inverse problems

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