An adaptive difference method for variable-order diffusion equations (Q6591051)

scientific article; zbMATH DE number 7899989

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English	An adaptive difference method for variable-order diffusion equations	scientific article; zbMATH DE number 7899989

Statements

instance of

scholarly article

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title

An adaptive difference method for variable-order diffusion equations (English)

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author

Joaquín Quintana-Murillo

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S. B. Yuste

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published in

Mediterranean Journal of Mathematics

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publication date

21 August 2024

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zbMATH Keywords

variable-order equations

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fractional derivative

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adaptive difference method

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Caputo derivative

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MaRDI profile type

Publication

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cites work

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A new difference scheme for the time fractional diffusion equation

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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A high-order difference scheme for the fractional sub-diffusion equation

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Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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Q5699297

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Finite difference methods with non-uniform meshes for nonlinear fractional differential equations

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Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes

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The fundamental solutions for the fractional diffusion-wave equation

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

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Applications of variable-order fractional operators: a review

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Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders

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Finite difference method on non-uniform meshes for time fractional diffusion problem

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Fractional diffusion and wave equations

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From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

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

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A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

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A fast temporal second‐order difference scheme for the time‐fractional subdiffusion equation

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Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data

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A higher order numerical method for time fractional partial differential equations with nonsmooth data

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A finite difference method with non-uniform timesteps for fractional diffusion equations

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Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations

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Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

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Finite difference methods for the time fractional diffusion equation on non-uniform meshes

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Error estimate on the tanh meshes for the time fractional diffusion equation

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Identifiers

zbMATH Open document ID

1543.65135

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DOI

10.1007/s00009-024-02681-6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6591051