High-order exponential integrators for the Riesz space-fractional telegraph equation (Q6144095)

scientific article; zbMATH DE number 7784264

Language	Label	Description	Also known as
English	High-order exponential integrators for the Riesz space-fractional telegraph equation	scientific article; zbMATH DE number 7784264

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instance of

scholarly article

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title

High-order exponential integrators for the Riesz space-fractional telegraph equation (English)

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published in

Communications in Nonlinear Science and Numerical Simulation

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publication date

5 January 2024

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zbMATH Keywords

Riesz space fractional telegraph equation

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fractional central difference scheme

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calculation of matrix functions

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exponential Runge-Kutta method

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MaRDI profile type

MaRDI publication profile

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cites work

A kind of generalized backward differentiation formulae for solving fractional differential equations

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Compact finite difference method for the fractional diffusion equation

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Quasi-compact finite difference schemes for space fractional diffusion equations

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Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian

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The fundamental solutions for the fractional diffusion-wave equation

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A fully discrete difference scheme for a diffusion-wave system

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

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Numerical methods and analysis for a class of fractional advection-dispersion models

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Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations

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Time-fractional telegraph equations and telegraph processes with Brownian time

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Fractional telegraph equations.

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High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation

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Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations

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Structure preserving fourth-order difference scheme for the nonlinear spatial fractional Schrödinger equation in two dimensions

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A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations

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Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation

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The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I)

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The space-fractional telegraph equation and the related fractional telegraph process

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Analytic and approximate solutions of the space- and time-fractional telegraph equations

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Fractional difference/finite element approximations for the time-space fractional telegraph equation

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Solution of fractional telegraph equation with Riesz space-fractional derivative

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Exponential time differencing for stiff systems

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Exponential integrators

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Fourth-Order Time-Stepping for Stiff PDEs

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Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology

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A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge--Kutta Method for a Class of Stiff Kinetic Equations

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Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation

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High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation

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High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction

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Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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Generalized integrating factor methods for stiff PDEs

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Exponential integrators for second-order in time partial differential equations

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Identifiers

zbMATH Open document ID

1530.65088

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Mathematics Subject Classification ID

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10.1016/J.CNSNS.2023.107607

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Sitelinks

Mathematics(1 entry)

mardi Publication:6144095