A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem (Q2060320)

scientific article; zbMATH DE number 7442893

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English	A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem	scientific article; zbMATH DE number 7442893

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instance of

scholarly article

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title

A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem (English)

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Mathematics and Computers in Simulation

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publication date

13 December 2021

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zbMATH Keywords

multi-term time-fractional equation

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modified \(L 1\) scheme

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Chebyshev-Galerkin spectral method

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error estimates

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.matcom.2021.11.005

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cites work

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Convolution quadrature time discretization of fractional diffusion-wave equations

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

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Geometric theory of semilinear parabolic equations

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Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem

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Superconvergence of a finite element method for the multi-term time-fractional diffusion problem

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

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Subdiffusion with a time-dependent coefficient: Analysis and numerical solution

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Modified spline collocation for linear fractional differential equations

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Smoothing transformation and spline collocation for linear fractional boundary value problems

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

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A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

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Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction

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Long time numerical behaviors of fractional pantograph equations

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Numerical methods for solving the multi-term time-fractional wave-diffusion equation

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

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An operational method for solving fractional differential equations with the Caputo derivatives

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Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations

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Q4233638

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A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations

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Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations

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A novel numerical scheme for a time fractional Black-Scholes equation

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Spectral Methods

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A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation

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

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Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions

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Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations

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

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.MATCOM.2021.11.005

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Sitelinks

Mathematics(1 entry)

mardi Publication:2060320