Numerical Method for the Time-Fractional Porous Medium Equation (Q4629331)

scientific article; zbMATH DE number 7040532

Language	Label	Description	Also known as
English	Numerical Method for the Time-Fractional Porous Medium Equation	scientific article; zbMATH DE number 7040532

Statements

instance of

scholarly article

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title

Numerical Method for the Time-Fractional Porous Medium Equation (English)

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author

Łukasz Płociniczak

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published in

SIAM Journal on Numerical Analysis

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publication date

22 March 2019

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full work available at URL

https://arxiv.org/abs/1805.10782

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zbMATH Keywords

porous medium equation

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nonlinear diffusion

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fractional derivative

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finite difference method

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Volterra equation

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MaRDI profile type

MaRDI publication profile

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cites work

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Numerical schemes for anomalous diffusion of single-phase fluids in porous media

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A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

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On a class of Volterra and Fredholm non-linear integral equations

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An Extension Problem Related to the Fractional Laplacian

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Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions

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A fractional porous medium equation

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On Euler midpoint formulae

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Finite difference method for a fractional porous medium equation

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Unique solutions of some Voltera integral equations.

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Transmutation method for the solving Erdélyi-Kober fractional differintegral equations

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Ten equivalent definitions of the fractional Laplace operator

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A Space-Time Spectral Method for the Time Fractional Diffusion Equation

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations

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On a nonlinear ordinary differential equation

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Approximation of the Erdélyi--Kober Operator with Application to the Time-Fractional Porous Medium Equation

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Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications

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Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative

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Existence and uniqueness results for a time-fractional nonlinear diffusion equation

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Q4089045

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Finite and infinite speed of propagation for porous medium equations with fractional pressure

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A second-order accurate numerical approximation for the fractional diffusion equation

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Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators

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The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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Application of the Time-Fractional Diffusion Equation to Methyl Alcohol Mass Transfer in Silica

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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Identifiers

zbMATH Open document ID

1409.76091

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DOI

10.1137/18M1192561

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4629331