Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation

DOI10.1007/s11075-021-01213-7zbMath1487.65144OpenAlexW3210911784MaRDI QIDQ2138415

Ping Pan, Yue Sun, Shu-ping Yang, Xiang-Tuan Xiong

Publication date: 11 May 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01213-7

zbMATH Keywords

error estimateinverse source problemstationary iterated weighted Tikhonov

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

The Cauchy problem for time-fractional linear nonlocal diffusion equations

Uses Software

• Mittag-Leffler
• mlf

Cites Work

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