Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations (Q5023826)

scientific article; zbMATH DE number 7463753

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English	Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations	scientific article; zbMATH DE number 7463753

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instance of

scholarly article

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title

Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations (English)

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SIAM Journal on Numerical Analysis

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publication date

25 January 2022

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zbMATH Keywords

variable-order time-fractional wave equation

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stability

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error estimate

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finite difference

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ADI scheme

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MaRDI profile type

MaRDI publication profile

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cites work

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Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

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Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations

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Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models

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A computational method for solving variable-order fractional nonlinear diffusion-wave equation

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Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations

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Mixed-type Galerkin variational principle and numerical simulation for a generalized nonlocal elastic model

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On time-fractional diffusion equations with space-dependent variable order

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Statistical physics of dynamical systems with variable memory

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Finite difference methods for two-dimensional fractional dispersion equation

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Lectures on viscoelasticity theory

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Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)

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Fractional integration and differentiation of variable order: an overview

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Integration and differentiation to a variable fractional order

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A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation

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Numerical simulation of anomalous infiltration in porous media

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The variable viscoelasticity oscillator

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Some temporal second order difference schemes for fractional wave equations

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A fully discrete difference scheme for a diffusion-wave system

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A second-order accurate numerical method for the two-dimensional fractional diffusion equation

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A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation

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An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations

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Chaos, fractional kinetics, and anomalous transport

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A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities

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Fast finite difference methods for space-time fractional partial differential equations in three space dimensions with nonlocal boundary conditions

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Wellposedness and regularity of a nonlinear variable-order fractional wave equation

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

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full work available at URL

https://doi.org/10.1137/19m1301230

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Identifiers

zbMATH Open document ID

1481.65128

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DOI

10.1137/19M1301230

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5023826