A fast high order method for time fractional diffusion equation with non-smooth data (Q2069741)

scientific article; zbMATH DE number 7461162

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English	A fast high order method for time fractional diffusion equation with non-smooth data	scientific article; zbMATH DE number 7461162

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instance of

scholarly article

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title

A fast high order method for time fractional diffusion equation with non-smooth data (English)

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Discrete and Continuous Dynamical Systems. Series B

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publication date

21 January 2022

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zbMATH Keywords

time fractional differential equation

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finite difference method

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graded meshes

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\(L1-2\) formula

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POD

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdsb.2021073

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cites work

A new difference scheme for the time fractional diffusion equation

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Numerical simulations of 2D fractional subdiffusion problems

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A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem

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Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem

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Nonpolynomial collocation approximation of solutions to fractional differential equations

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An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data

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A compact finite difference scheme for the fractional sub-diffusion equations

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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Time fractional diffusion: A discrete random walk approach

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

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Q5708108

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An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model

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A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations

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A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations

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Error analysis of a high order method for time-fractional diffusion equations

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Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients

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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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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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

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Too much regularity may force too much uniqueness

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

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A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

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Some time stepping methods for fractional diffusion problems with nonsmooth data

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A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

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Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

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Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations

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A Fast High Order Method for the Time-Fractional Diffusion Equation

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Implicit difference approximation for the time fractional diffusion equation

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Identifiers

Mathematics Subject Classification ID

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10.3934/DCDSB.2021073

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Sitelinks

Mathematics(1 entry)

mardi Publication:2069741