Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation

DOI10.1016/j.cam.2014.05.016zbMath1294.65090OpenAlexW2004985033MaRDI QIDQ2253070

Li Ping Zhao, Xiang-Tuan Xiong, Benny Y. C. Hon

Publication date: 25 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.05.016

zbMATH Keywords

regularizationnumerical experimentserror bounderror estimateill-posednessnon-characteristic Cauchy problemstability estimatefractional diffusion equationFourier transformation technique

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

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A modified Tikhonov regularization method for a Cauchy problem of a time fractional diffusion equation

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