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An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons - MaRDI portal

An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons (Q6046270)

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scientific article; zbMATH DE number 7683935

Language	Label	Description	Also known as
English	An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons	scientific article; zbMATH DE number 7683935

Statements

scholarly article

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An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons (English)

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Zheng Qiang Zhang

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Computer Physics Communications

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publication date

10 May 2023

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zbMATH Keywords

coupled sine-Gordon equations

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Caputo fractional derivative

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Hermite polynomial/function

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unbounded domain

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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.cpc.2018.11.010

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On the exchange of energy in coupled Klein --- Gordon equations

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A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods

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The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations

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The influence of modulational instability on energy exchange in coupled sine-Gordon equations

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Numerical simulation of the \(N\)-dimensional sine-Gordon equation via operational matrices

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The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation

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Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation

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On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system

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A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives

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A numerical scheme and some theoretical aspects for the cylindrically and spherically symmetric sine-Gordon equations

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An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation

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Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains

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Chaos, fractional kinetics, and anomalous transport

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Lectures on viscoelasticity theory

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On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling

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Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations

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Numerical solution of the Bagley-Torvik equation.

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A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

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Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives

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New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

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Variational formulation for the stationary fractional advection dispersion equation

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Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

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Variational formulation of problems involving fractional order differential operators

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Spectral approximations to the fractional integral and derivative

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

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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

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Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains

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Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

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Spectral Methods

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The Hermite Spectral Method for Gaussian-Type Functions

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Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains

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A fully discrete difference scheme for a diffusion-wave system

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On Direct Methods for Solving Poisson’s Equations

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Identifiers

10.1016/j.cpc.2018.11.010

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046270

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