4.6 Article

An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation

Ting Wei et al.

Summary: This paper investigates the problem of identifying a space-dependent source in a time-fractional diffusion-wave equation using final time data. The inverse source problem is formulated using a first kind of Fredholm integral equation and solved using a generalized quasi-boundary value regularization method. The effectiveness and stability of the proposed algorithms are demonstrated through numerical examples.

INVERSE PROBLEMS (2022)

Article Mathematics, Applied

Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation

Shuping Yang et al.

Summary: This paper focuses on a backward problem for an inhomogeneous time-fractional diffusion equation on a spherical symmetric domain, proposing an iterated fractional Tikhonov regularization method for both deterministic and random noise cases. The choice rules for regularization parameters are discussed, along with the corresponding convergence rates. The superiority of the iterative fractional Tikhonov regularization method over the classical method is demonstrated through a numerical example.

APPLIED NUMERICAL MATHEMATICS (2021)

Article Mathematics, Applied

A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder

Shuping Yang et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2020)

Article Mathematics, Applied

The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation

Fan Yang et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2020)

Article Mathematics, Applied

A fractional Landweber method for solving backward time-fractional diffusion problem

Yaozong Han et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2019)

Article Engineering, Multidisciplinary

An iterative method for an inverse source problem of time-fractional diffusion equation

Jun-Gang Wang et al.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING (2018)

Article Mathematics, Interdisciplinary Applications

Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation

Yong-Ki Ma et al.

CHAOS SOLITONS & FRACTALS (2018)

Article Mathematics, Applied

The backward problem for a time-fractional diffusion-wave equation in a bounded domain

Ting Wei et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2018)

Article Mathematics, Applied

ON EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SEMILINEAR FRACTIONAL WAVE EQUATIONS

Yavar Kian et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2017)

Article Mathematics, Applied

Numerical Solution of Fractional Diffusion-Wave Equation

An Chen et al.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2016)

Article Mathematics, Applied

A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems

B. Tomas Johansson et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2012)

Article Engineering, Multidisciplinary

A compact difference scheme for the fractional diffusion-wave equation

R. Du et al.

APPLIED MATHEMATICAL MODELLING (2010)

Article Mathematics, Applied

The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes

Xiaoyun Jiang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2010)

Article Mathematics, Applied

Iteration methods on sideways parabolic equations

Youjun Deng et al.

INVERSE PROBLEMS (2009)

Article Physics, Multidisciplinary

Fractional optimal control problem of a distributed system in cylindrical coordinates

Necati Ozdemir et al.

PHYSICS LETTERS A (2009)

Article Chemistry, Physical

Fractional radial diffusion in a cylinder

Y. Z. Povstenko

JOURNAL OF MOLECULAR LIQUIDS (2008)

Article Physics, Multidisciplinary

Fractional diffusion-wave problem in cylindrical coordinates

Necati Ozdemir et al.

PHYSICS LETTERS A (2008)

Article Mechanics

MHD of a fractional viscoelastic fluid in a circular tube

M El-Shahed

MECHANICS RESEARCH COMMUNICATIONS (2006)

Article Chemistry, Physical

Fractional radial diffusion in a cylinder

BNN Achar et al.

JOURNAL OF MOLECULAR LIQUIDS (2004)

Article Physics, Multidisciplinary

Waiting-times and returns in high-frequency financial data: an empirical study

M Raberto et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2002)

Review Physics, Multidisciplinary

The random walk's guide to anomalous diffusion: a fractional dynamics approach

R Metzler et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2000)

Article Environmental Sciences

Anomalous transport in laboratory-scale, heterogeneous porous media

B Berkowitz et al.

WATER RESOURCES RESEARCH (2000)

Article Physics, Multidisciplinary

Fractional calculus and continuous-time finance

E Scalas et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2000)