A tunable finite difference method for fractional differential equations with non-smooth solutions (Q2309087)

scientific article

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English	A tunable finite difference method for fractional differential equations with non-smooth solutions	scientific article

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instance of

scholarly article

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title

A tunable finite difference method for fractional differential equations with non-smooth solutions (English)

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author

Xuejuan Chen

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Fanhai Zeng

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George Em. Karniadakis

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

6 April 2020

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zbMATH Keywords

weighted shifted Grünwald-Letnikov formula

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correction terms

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fractional boundary value problems

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space-fractional Allen-Cahn equation

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singularities

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2017.01.020

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cites work

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The fundamental solution of the space-time fractional diffusion equation

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Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions

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A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

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Convergence of a \(p\)-version/\(hp\)-version method for fractional differential equations

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Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

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Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer

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A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems

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A finite difference method for a two-point boundary value problem with a Caputo fractional derivative

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A simple finite element method for boundary value problems with a Riemann-Liouville derivative

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Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

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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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Nonpolynomial collocation approximation of solutions to fractional differential equations

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Fractional Spectral Collocation Method

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Discretized Fractional Calculus

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Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

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

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Second-order stable finite difference schemes for the time-fractional diffusion-wave equation

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A Petrov--Galerkin Finite Element Method for Fractional Convection-Diffusion Equations

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Numerical evaluation of the Gauss hypergeometric function by power summations

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Identifiers

zbMATH Open document ID

1439.65082

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DOI

10.1016/j.cma.2017.01.020

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2309087