A second-order accurate and unconditionally energy stable numerical scheme for nonlinear sine-Gordon equation

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

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An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term
Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations
The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
The scalar auxiliary variable (SAV) approach for gradient flows
Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
A decomposition method for solving the nonlinear Klein-Gordon equation
Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
Convergence of the interpolated coefficient finite element method for the two-dimensional elliptic sine-Gordon equations
A model unified field equation
Fourth‐order compact scheme for the one‐dimensional sine‐Gordon equation
The Global Dynamics of Discrete Semilinear Parabolic Equations
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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