Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem (Q6145283)

scientific article; zbMATH DE number 7798631

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English	Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem	scientific article; zbMATH DE number 7798631

Statements

instance of

scholarly article

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title

Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem (English)

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DOI

10.3934/nhm.2023008

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published in

Networks and Heterogeneous Media

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publication date

2 February 2024

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Mathematics Subject Classification ID

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multi-term time-fractional diffusion equation

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ill-posed problem

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inverse source problem

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Galerkin spectral method

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finite difference method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/nhm.2023008

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Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations

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

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Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

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Analytical solutions for multi-term time-space coupling fractional delay partial differential equations with mixed boundary conditions

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Analytical solutions to multi-term time-space Caputo-Riesz fractional diffusion equations on an infinite domain

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Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

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A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term

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Uniqueness in inverse boundary value problems for fractional diffusion equations

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Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain

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A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

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Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations

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Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation

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A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions

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An alternating direction implicit Legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation

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A high-order spectral method for the multi-term time-fractional diffusion equations

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A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

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Inverse source problem for a fractional diffusion equation

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Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation

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Determine a space-dependent source term in a time fractional diffusion-wave equation

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Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model

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Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

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Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations

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

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Inverse source problem for a multiterm time-fractional diffusion equation with nonhomogeneous boundary condition

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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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Simultaneous recoveries for semilinear parabolic systems

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Determining both sound speed and internal source in thermo- and photo-acoustic tomography

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Determining a fractional Helmholtz equation with unknown source and scattering potential

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

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Q2927791

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Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Sitelinks

Mathematics(1 entry)

mardi Publication:6145283