Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations (Q5268987)

scientific article; zbMATH DE number 6730998

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English	Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations	scientific article; zbMATH DE number 6730998

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instance of

scholarly article

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title

Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations (English)

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SIAM Journal on Scientific Computing

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publication date

14 June 2017

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zbMATH Keywords

fractional differential equations

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pseudospectral differentiation/integration matrices

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weighted Lagrange interpolation

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equivalence

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Caputo fractional Birkhoff interpolation

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Jacobi-Gauss quadrature

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numerical results

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describes a project that uses

Differentiation Matrix Suite

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MaRDI profile type

MaRDI publication profile

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cites work

Barycentric Lagrange Interpolation

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Spectral Methods

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A multi-domain spectral method for time-fractional differential equations

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Generalized Jacobi functions and their applications to fractional differential equations

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A Birkhoff interpolation problem and application

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On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation

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Spectral approximation methods and error estimates for Caputo fractional derivative with applications to initial-value problems

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Integration Preconditioning Matrix for Ultraspherical Pseudospectral Operators

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Pseudospectral integration matrix and boundary value problems

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Generation of higher order pseudospectral integration matrices

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Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

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A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations

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Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights

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A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation

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Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators

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The numerical stability of barycentric Lagrange interpolation

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Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis

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Q5699297

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Spectral approximations to the fractional integral and derivative

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A Space-Time Spectral Method for the Time Fractional Diffusion Equation

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Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation

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The \(L^{2}\)-convergence of the Legendre spectral tau matrix formulation for nonlinear fractional integro differential equations

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Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

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

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Advances in Fractional Calculus

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Spectral Methods

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Efficient and stable generation of higher-order pseudospectral integration matrices

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New results on pseudospectral methods for optimal control

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Integral fractional pseudospectral methods for solving fractional optimal control problems

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Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations

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Polynomial spectral collocation method for space fractional advection–diffusion equation

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Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials

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A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix

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Stability of Barycentric Interpolation Formulas for Extrapolation

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Generation of Pseudospectral Differentiation Matrices I

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A unified Petrov-Galerkin spectral method for fractional PDEs

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Fractional Sturm-Liouville eigen-problems: theory and numerical approximation

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Exponentially accurate spectral and spectral element methods for fractional ODEs

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Fractional Spectral Collocation Method

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Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

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A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order 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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full work available at URL

https://doi.org/10.1137/15m1061496

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Identifiers

zbMATH Open document ID

1367.65114

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DOI

10.1137/15M1061496

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5268987