A mollification regularization method for unknown source in time-fractional diffusion equation

DOI10.1080/00207160.2013.851787zbMath1304.35755OpenAlexW1978756304MaRDI QIDQ2935375

Fan Yang, Chu-Li Fu, Xiao-Xiao Li

Publication date: 29 December 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.851787

zbMATH Keywords

error estimatea posteriori parameter choicetime-fractional diffusion equationtime-dependent heat sourcemollification regularization method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Ill-posed problems for PDEs (35R25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22) Fractional partial differential equations (35R11)

Related Items (17)

Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation ⋮ Two regularization methods for inverse source problem on the Poisson equation ⋮ Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation ⋮ The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation ⋮ On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation ⋮ Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation ⋮ The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem ⋮ A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain ⋮ Identifying an unknown source term in a time-space fractional parabolic equation ⋮ LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN ⋮ A two dimensional discrete mollification operator and the numerical solution of an inverse source problem ⋮ Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method

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