fourth-order compact difference scheme
Maximum norm error estimates of fourth order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term
... a compact finite difference scheme for the NLS equation in [22], which provided a new thinking on the theoretical proving of a compact difference ...of compact difference scheme for NLS ...
15
A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations
... reduced fourth-order compact difference scheme for solving parabolic ...the fourth-order compact difference scheme coupled with POD technique not only keeps high ...
22
High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids
... a fourth order compact difference scheme to solve the steady Navier-Stokes ...finite difference schemes for steady convection dif- fusion equation on uniform ...a fourth ...
15
Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... finite difference method. Compact difference scheme as a kind of finite difference method is getting more and more attention due to its advantages with fewer grid points and higher ...
6
Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... difference scheme, fails to approach the exact solution of most equations; for obtaining a more accurate numerical solution one needs to add more nodes and use smaller mesh sizes, which would require more storage ...
24
Compact difference scheme for two dimensional fourth order hyperbolic equation
... (see [1–5]). Compared with the second-order equations [6–11], it is usually necessary to use higher-order finite element methods or thirteen-point difference schemes in order to solve the numerical ...
19
Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... high order compact (HOC) finite difference (FD) schemes, which are computationally ...of fourth- order compact (4OC) finite difference schemes for convection diffusion ...
14
An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... the compact finite difference scheme (CFDS), which has been widely used in numerical solution of various types of par- tial differential ...combine fourth Runge–Kutta in time and a sixth-order ...
22
Fourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry
... high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical ...proposed scheme we discretize the space derivative with a ...
26
A new high order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
... a fourth-order compact ADI scheme, based on the Douglas–Gunn ADI scheme combined with second-order Strang splitting technique, is proposed for solving 3D nonlinear Schrödinger ...
15
A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
... difference scheme for the GRRLW equation is constructed, and the discrete conservative laws of the difference scheme are ...a fourth-order finite difference approximation of the GRRLW equation are ...
16
Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... fractional order in various domains, we refer the readers to []. In order to better illustrate the described physical phenomena, we need to obtain the solutions of ...methods, compact finite ...
14
A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... mesh compact scheme for mildly non-linear elliptic ...mesh compact finite-difference operators for first- and second-order ordi- nary derivatives associated with the Numerov ...
13
Oscillation of a class of the fourth order nonlinear difference equations
... System (S) can be viewed as a discrete analogue of the four-dimensional differential sys- tem investigated by Kusano et al. [], and by Chanturia []. In that article, the oscillation of the n-dimensional differential ...
14
Dynamical Properties in a Fourth Order Nonlinear Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 679409, 9 pages doi 10 1155/2010/679409 Research Article Dynamical Properties in a Fourth Order Nonlinear Differ[.] ...
9
Dynamics of a fourth order system of rational difference equations
... In this paper, we study the equilibrium points, local asymptotic stability of an equilibrium point, instability of equilibrium points, periodicity behavior of positive solutions, and global character of an equilibrium ...
15
Numerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact solution
... yet been used for solving the Burgers equation is the ADM discretization method. The ADM dis- cretization method was first utilized for obtaining numerical solutions, to discretize the nonlinear Schrdinger equation [19]. ...
11
Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... high-order compact formula- tion for three space dimensional linear elliptic PDEs with variable coefficients is described in ...A fourth-order compact formulation on variable grid step ...
27
A new fourth-order embedded method based on the harmonic mean
... One of the difficulties in implementing the classical Runge-Kutta method is the absence of estimation of errors procedure in computating the numerical solutions. Several methods have been developed to overcome these ...
6
A high-accuracy compact conservative scheme for generalized regularized long-wave equation
... linear- compact difference scheme for the GRLW equation is ...the scheme and the estimate of the difference ...the fourth-order convergence and stability of the scheme are proved ...
14