The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations

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

Numerical study of the one-dimensional coupled nonlinear sine-Gordon equations by a novel geometric meshless method

(2020) M. S. Hashemi   ENGINEERING WITH COMPUTERS

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

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

Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg–Landau equation

(2020) Qifeng Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

(2019) Dingwen Deng   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows

(2019) S. Wu et al.   APPLIED NUMERICAL MATHEMATICS

The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction–diffusion equations with variable coefficients

(2018) Jianqiang Xie et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

(2017) K. Hosseini 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 compact and Crank–Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations

(2016) Qifeng Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The study of a fourth-order multistep ADI method applied to nonlinear delay reaction–diffusion equations

(2015) Dingwen Deng   APPLIED NUMERICAL 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 two-level compact ADI method for solving second-order wave equations

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

Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

(2010) Zhen Gao et al.   APPLIED NUMERICAL MATHEMATICS

Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations

(2010) Samir Karaa   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

High order compact Alternating Direction Implicit method for the generalized sine-Gordon equation

(2010) Mingrong Cui   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Exact solutions of coupled sine–Gordon equations

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

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