A numerical method for determining a quasi solution of a backward time-fractional diffusion equation

DOI10.1080/17415977.2017.1384826zbMath1409.65064OpenAlexW2763710109MaRDI QIDQ3122025

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Publication date: 20 March 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1384826

zbMATH Keywords

quasi-solutionbackward time-fractional diffusion equationLevenberg-Marquardt regularizationWEB-spline finite element method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) 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)

Related Items (6)

The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ Identification of the diffusion coefficient in a time fractional diffusion equation ⋮ Quasi solution of a backward space fractional diffusion equation ⋮ Inverse source problem in a space fractional diffusion equation from the final overdetermination. ⋮ Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation

Uses Software

• KELLEY

Cites Work

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