Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation (Q2176190)

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English	Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation	scientific article

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scholarly article

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title

Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation (English)

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Computational and Applied Mathematics

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publication date

4 May 2020

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zbMATH Keywords

implicit Runge-Kutta method

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spectral Galerkin method

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Riesz space fractional/distributed-order diffusion equation

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convergence

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stability

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describes a project that uses

RODAS

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-020-1102-3

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cites work

Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation

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Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data

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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

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Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations

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Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel

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Generalized Jacobi functions and their applications to fractional differential equations

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations

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Numerical analysis for distributed-order differential equations

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High-order algorithms for Riesz derivative and their applications. II

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Variational formulation for the stationary fractional advection dispersion equation

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Variational solution of fractional advection dispersion equations on bounded domains in ℝd

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A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain

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Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces

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Q4714145

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Implicit Runge--Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations

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An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions

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Galerkin/Runge–Kutta Discretizations for Semilinear Parabolic Equations

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A novel finite volume method for the Riesz space distributed-order advection-diffusion equation

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A novel finite volume method for the Riesz space distributed-order diffusion equation

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Galerkin finite element method for nonlinear fractional Schrödinger equations

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Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients

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Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method

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Analysis of Spectral Projectors in One-Dimensional Domains

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

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Fractional kinetic equations: solutions and applications

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Spectral direction splitting methods for two-dimensional space fractional diffusion equations

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Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

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Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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Galerkin finite element approximation of symmetric space-fractional partial differential equations

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A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

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

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An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions

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Identifiers

zbMATH Open document ID

1449.65283

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DOI

10.1007/s40314-020-1102-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2176190