The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation (Q6121851)

scientific article; zbMATH DE number 7810046

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English	The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation	scientific article; zbMATH DE number 7810046

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instance of

scholarly article

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title

The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

27 February 2024

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zbMATH Keywords

backward problem

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quasi-reversibility regularization method

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multi-term time-space fractional diffusion equation

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modified Morozov's discrepancy principle

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2024.107848

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cites work

Fractional diffusion equations by the Kansa method

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Numerically pricing double barrier options in a time-fractional Black-Scholes model

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

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Backward problem for a time-space fractional diffusion equation

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The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation

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Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method

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A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations

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The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation

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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation

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NUMERICAL SIMULATIONS FOR SPACE–TIME FRACTIONAL DIFFUSION EQUATIONS

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Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

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Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

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Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior

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Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem

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The Galerkin finite element method for a multi-term time-fractional diffusion equation

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Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation

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Identification of the time-dependent source term in a multi-term time-fractional diffusion equation

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SIMULTANEOUS DETERMINATION OF A SOURCE TERM AND DIFFUSION CONCENTRATION FOR A MULTI-TERM SPACE-TIME FRACTIONAL DIFFUSION EQUATION

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Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation

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Q3020308

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Analysis and solution of the ill-posed inverse heat conduction problem

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A backward problem for the time-fractional diffusion equation

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Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation

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Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method

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The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation

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A modified quasi-reversibility method for inverse source problem of Poisson equation

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Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian

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The backward problem for a nonlinear Riesz-Feller diffusion equation

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Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method

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Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem

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Q2927791

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Two regularization methods for identifying the unknown source in a multiterm time-fractional diffusion equation

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Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method

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Identifiers

DOI

10.1016/j.cnsns.2024.107848

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6121851