Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations (Q6156114)

scientific article; zbMATH DE number 7694959

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English	Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations	scientific article; zbMATH DE number 7694959

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instance of

scholarly article

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title

Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations (English)

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12 June 2023

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zbMATH Keywords

sine-Gordon equations

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coupled sine-Gordon equations

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Du Fort-Frankel difference schemes

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energy conservations

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error estimations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11075-022-01453-1

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cites work

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New exact solutions for the sine-Gordon equation in 2+1 dimensions

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The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations

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A family of new fourth-order solvers for a nonlinear damped wave equation

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Numerical solution of a nonlinear Klein-Gordon equation

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Numerical solution of the sine-Gordon equation

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Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

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Two energy conserving numerical schemes for the sine-Gordon equation

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Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

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High Order Symplectic Schemes for the Sine-Gordon Equation<sup>*</sup>

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A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach

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Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients

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A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation

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Energy-preserving finite element methods for a class of nonlinear wave equations

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A fourth-order AVF method for the numerical integration of sine-Gordon equation

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

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Exact solutions of coupled sine-Gordon equations

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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 time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations

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The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions

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The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations

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A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

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An effective dissipation-preserving fourth-order difference solver for fractional-in-space nonlinear wave equations

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

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Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

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Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential

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Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation

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New analysis of the Du Fort-Frankel methods

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An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient

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Dufort–Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations

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On Convergence and Stability of the Explicit Difference Method for Solution of Nonlinear Schrödinger Equations

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A Wigner-Measure Analysis of the Dufort--Frankel Scheme for the Schrödinger Equation

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Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations

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Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation

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Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11075-022-01453-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:6156114