Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations

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

(2021) Dingwen Deng et al.   NUMERICAL ALGORITHMS

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

(2020) Dingwen Deng et al.   APPLIED NUMERICAL MATHEMATICS

Linearly Implicit and High-Order Energy-Conserving Schemes for Nonlinear Wave Equations

(2020) Dongfang Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method

(2019) Dingwen Deng   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

(2018) Fengyan Wu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A new geometric modeling approach for woven fabric based on Frenet frame and Spiral Equation

(2018) Daiguo Deng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The investigation of soliton solutions of the coupled sine-Gordon equation in nonlinear optics

(2017) Qin Zhou et al.   JOURNAL OF MODERN OPTICS

Exact solitons of the coupled sine-Gordon equation in nonlinear system

(2017) M. Ekici et al.   OPTIK

Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations

(2016) Waixiang Cao et al.   Communications in Computational Physics

Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein–Gordon equations

(2016) Zhiguo Xu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

(2015) Mohammad Ilati et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A new fourth-order numerical algorithm for a class of nonlinear wave equations

(2012) Dingwen Deng et al.   APPLIED NUMERICAL MATHEMATICS

A two-level compact ADI method for solving second-order wave equations

(2012) Hong-Lin Liao et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Maximum norm error estimates of efficient difference schemes for second-order wave equations

(2010) Hong-lin Liao et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Exact solutions of coupled sine–Gordon equations

(2010) Alvaro H. Salas   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

(2010) Tingchun Wang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations

(2010) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

(2008) Hong-Lin Liao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS