The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder

DOI10.1016/j.camwa.2023.02.014OpenAlexW4322755907MaRDI QIDQ2697818

Hao Cheng, Xiaoxiao Geng, Chengxin Shi

Publication date: 13 April 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.02.014

zbMATH Keywords

error estimatesiterative regularization methodbackward problemtime-fractional diffusion-wave equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (1)

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay

Cites Work

• Unnamed Item
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Identification of a source in a fractional wave equation from a boundary measurement
• Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation
• The backward problem for a time-fractional diffusion-wave equation in a bounded domain
• A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation
• A Tikhonov regularization method for solving a backward time-space fractional diffusion problem
• Determination of the initial data in a time-fractional diffusion-wave problem by a final time data
• Determine a space-dependent source term in a time fractional diffusion-wave equation
• Well-posedness for the backward problems in time for general time-fractional diffusion equation
• An inverse problem for a one-dimensional time-fractional diffusion problem
• Iteration methods on sideways parabolic equations
• A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems
• A Fractional Tikhonov Regularisation Method for Finding Source Terms in a Time-Fractional Radial Heat Equation
• A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder
• A modified quasi-boundary value method for a backward problem for the inhomogeneous time conformable fractional heat equation in a cylinder
• Backward problems in time for fractional diffusion-wave equation
• An introduction to the mathematical theory of inverse problems
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder