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

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

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

Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model

(2016) Miglena N. Koleva et al.   NUMERICAL ALGORITHMS

Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

(2015) Dingwen Deng et al.   APPLIED MATHEMATICAL MODELLING

New exact traveling wave solutions for double Sine–Gordon equation

(2015) Yunchuan Sun   APPLIED MATHEMATICS AND COMPUTATION

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

Nonconforming quadrilateral finite element method for a class of nonlinear sine–Gordon equations

(2013) Dongyang Shi et al.   APPLIED MATHEMATICS AND COMPUTATION

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

Convergence of compact ADI method for solving linear Schrödinger equations

(2011) Hong-Lin Liao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

(2010) Mingrong Cui   JOURNAL OF COMPUTATIONAL AND APPLIED 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

Exact solutions for a nonlinear model

(2009) Jairo Ernesto Castillo Hernández et al.   APPLIED MATHEMATICS AND COMPUTATION

Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier–Stokes equations

(2009) Abdullah Shah et al.   APPLIED MATHEMATICS AND COMPUTATION

New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations

(2008) M. T. Darvishi et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

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