Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations (Q2294908)

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English	Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations	scientific article

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title

Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations (English)

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Applied Mathematics and Computation

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publication date

12 February 2020

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zbMATH Keywords

regularity

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pseudo-eigen functions

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weighted Sobolev spaces

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spectral methods

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optimal error estimates

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Riemann-Liouville fractional operators

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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.amc.2020.125045

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cites work

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Variational formulation for the stationary fractional advection dispersion equation

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A fourth-order approximation of fractional derivatives with its applications

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Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations

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Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions

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Variational formulation of problems involving fractional order differential operators

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An efficient collocation method for a Caputo two-point boundary value problem

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

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A finite volume method for two-sided fractional diffusion equations on non-uniform meshes

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Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions

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

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Error estimates of spectral Galerkin methods for a linear fractional reaction-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 Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data

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Identifiers

zbMATH Open document ID

1433.65211

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Mathematics Subject Classification ID

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10.1016/J.AMC.2020.125045

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Sitelinks

Mathematics(1 entry)

mardi Publication:2294908