Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation
出版年份 2021 全文链接
标题
Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation
作者
关键词
Fourth-order wave equation, Beam equation, Conservative property, Compact finite difference scheme
出版物
APPLIED MATHEMATICS AND COMPUTATION
Volume 401, Issue -, Pages 126055
出版商
Elsevier BV
发表日期
2021-02-25
DOI
10.1016/j.amc.2021.126055
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear Klein–Gordon equation with weak nonlinearity
- (2020) Yue Feng NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein–Gordon equations
- (2019) Bin Wang et al. APPLIED NUMERICAL MATHEMATICS
- Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity
- (2019) Weizhu Bao Communications in Computational Physics
- Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
- (2019) Weizhu Bao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation
- (2019) Tingchun Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Energy stable compact scheme for Cahn–Hilliard equation with periodic boundary condition
- (2018) Seunggyu Lee et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Error estimates of a finite difference method for the Klein–Gordon–Zakharov system in the subsonic limit regime
- (2017) Chunmei Su et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Global existence and blow-up of solutions for higher-order viscoelastic wave equation with a nonlinear source term
- (2015) Yaojun Ye NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
- (2014) Weizhu Bao et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- (2013) Tingchun Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis
- (2013) Mahboub Baccouch JOURNAL OF SCIENTIFIC COMPUTING
- The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation
- (2013) Mahboub Baccouch JOURNAL OF SCIENTIFIC COMPUTING
- A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation
- (2013) Qihang Sun et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
- (2013) Weizhu Bao et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- On the initial value problem of the semilinear beam equation with weak damping II: Asymptotic profiles
- (2012) Hiroshi Takeda et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
- (2012) Yan Xu et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- (2011) Xiuling Hu et al. COMPUTER PHYSICS COMMUNICATIONS
- Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime
- (2011) Weizhu Bao et al. NUMERISCHE MATHEMATIK
- A three level linearized compact difference scheme for the Cahn-Hilliard equation
- (2011) Juan Li et al. Science China-Mathematics
- High-order solution of one-dimensional sine–Gordon equation using compact finite difference and DIRKN methods
- (2009) Akbar Mohebbi et al. MATHEMATICAL AND COMPUTER MODELLING
- Fourth-order compact solution of the nonlinear Klein-Gordon equation
- (2009) Mehdi Dehghan et al. NUMERICAL ALGORITHMS
- Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation
- (2008) Shu-Sen Xie et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Fourth-order compact scheme for the one-dimensional sine-Gordon equation
- (2008) Mingrong Cui NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started