Fourth|order compact difference schemes for the two|dimensional ...

Fourth-order compact difference schemes for the two-dimensional ...

In this article, we develop fourth-order compact difference schemes based on the linearized generalized BDF2-θ to solve the two-dimensional nonlinear ...

Fourth-order compact difference schemes for the two-dimensional ...

The fourth-order compact difference scheme (CDS) is an efficient numerical algorithm, which has been reported in a lot of literature to ...

Compact difference scheme for two‐dimensional fourth‐order ...

High-order compact finite difference method for solving the two-dimensional fourth-order nonlinear hyperbolic equation is considered in this ...

An explicit fourth-order compact difference scheme for solving the ...

In this paper, an explicit fourth-order compact (EFOC) difference scheme is proposed for solving the two-dimensional(2D) wave equation.

(PDF) Fourth-order compact finite difference method for solving two ...

Scalar-coupled-wave equations are adopted as finite difference equations. The alternating direction implicit method has been used to divide one step into two ...

Compact difference scheme for two-dimensional fourth-order ...

In this paper, we mainly study an initial and boundary value problem of a two-dimensional fourth-order hyperbolic equation.

Development of a fourth-order compact finite difference scheme for ...

A fourth-order compact finite difference scheme was developed to solve the model equation of simulated moving bed, which has a boundary ...

A COMPACT FOURTH-ORDER FINITE DIFFERENCE SCHEME ...

In. Section 5 we discuss possible extensions of the present method. (3). 2. NUMERICAL METHODS. The N-S equations representing the two-dimensional steady flow of ...

A Fourth-Order Compact and Conservative Difference Scheme for ...

In this paper, a conservative difference scheme for the Rosenau-Korteweg de Vries (RKdV) equation in 2D is proposed. The system satisfies the conservative laws ...

Fourth-order compact finite difference method for solving two ...

A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater ...

Fourth-order compact schemes for solving multidimensional heat ...

Abstract. In this article, two sets of fourth-order compact finite difference schemes are constructed for solving heat-conducting problems of two or three ...

Convergence of Fourth Order Compact Difference Schemes for ...

We consider a Dirichlet boundary‐value problem for the three‐dimensional convection‐diffusion equations with constant coefficients in the unit cube.

Fourth-order time-stepping compact finite difference method for multi ...

Abstract. In this work, an efficient fourth-order time-stepping compact finite difference scheme is devised for the numerical solution of multi- ...

A fourth-order arithmetic average compact finite-difference method ...

A new numerical scheme for solving variable coefficients in three-dimensional nonlinear elliptic PDEs is developed. Fourth-order compact formulation with a ...

Compact fourth-order finite difference method for solving differential ...

We present a fourth-order finite difference (FD) method for solving two-dimensional partial differential equations.

High-order compact finite difference methods

Poisson equation in three dimensions. 2 High-order compact schemes. To introduce the basic idea, let us consider the elementary, steady, ...

Error Estimate of Fourth-Order Compact Scheme for Linear ...

A fourth-order compact difference scheme is proposed for two-dimensional linear Schrödinger equations with periodic boundary conditions.

Fourth-order compact difference schemes for the two-dimensional ...

Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models.

(PDF) Compact difference scheme for two-dimensional fourth-order ...

Firstly, the fourth-order equation is written as a system of two second-order equations by introducing two new variables. ... We prove the unconditional stability ...

compact fourth-order finite difference schemes for helmholtz ...

Key words: Helmholtz equation, Compact difference scheme, FFT algorithm, Convergence. 1. Introduction. In this paper, we consider two-dimensional Helmholtz ...