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

(PDF) An Explicit Fourth-Order Compact Numerical Scheme for Heat ...

To solve the transient problem, a nontrivial numerical approach is proposed whereby the differential equations are first discretized in time. This reduces the ...

A COMPACT FOURTH-ORDER FINITE DIFFERENCE SCHEME ...

In Section 3 we test the new fourth-order scheme for the N-S equations which possess an exact solution. The model problem of the lid-driven cavity is described ...

Finite difference method - Wikipedia

In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives ...

High Resolution Compact Finite Difference Schemes for Convection ...

The compact high-order finite difference schemes provide an effective way of combining the robustness of finite difference schemes and the accuracy of spectral ...

A novel central compact finite-difference scheme for third derivatives ...

Computational findings further illustrate the effectiveness of high-order compact schemes, particularly in addressing problems with a third ...

A compact fourth-order implicit-explicit Runge-Kutta type scheme for ...

The proposed scheme takes full advantage of method of line (MOL) and partial fraction decomposition techniques, therefore it just need to ...

A Compact Finite Difference Scheme for Reaction-convection ...

In the present study, we propose a fourth-order compact finite difference scheme for solving the linear reaction- convection-diffusion equation which is.

Application of an Iterative High Order Difference Scheme Along With ...

The current fourth-order compact formulation is implemented for the first time, which offers a semi-explicit method of solution for the ...

Compact Difference Schemes Combined with Runge-Kutta Methods ...

A procedure was given in detail to solve the one-dimensional unsteady convection-diffusion equation through a combination of Runge-Kutta methods and compact ...

A second-order compact difference scheme for the fourth-order ...

In the present work, a compact difference scheme with convergence order O(τ 2 + h 4) is proposed for the fourth-order fractional ...

Computation of the convection diffusion equation by the fourth order ...

These techniques are based on the explicit finite difference approximations using second, third and fourth-order compact difference schemes in space and a first ...

Very high-order compact finite difference schemes on non-uniform ...

The better res- olution ability of the multidiagonal high-order compact schemes, when compared to an explicit scheme of the ... order compact schemes in solving ...

Compact finite difference method for solving ordinary differential ...

... order explicit finite difference method to approximate Neumann and Robin boundary conditions. However, this compromises the overall accuracy of the scheme ...

The conservative and fourth-order compact finite difference schemes ...

In this paper, two conservative and fourth-order compact finite difference schemes are proposed and analyzed for solving the regularized long wave (RLW) ...

High-order, stable, and conservative boundary schemes for central ...

The only schemes which run to completion are the 4th order explicit and compact schemes given in the accompa- nying Data in Brief. Snapshots of the solution at ...

Fourth Order Modified Explicit Decoupled Group Scheme in the ...

difference formulas that can be used to approximate the solution ... Performance Comparison between the Fourth Order Compact and Rotated Nine-Point Finite ...

A Consistent Fourth-Order Compact Finite Difference Scheme for ...

approximation for solving convective dominant equations. Later, Tian [13] explored a kind of fourth-order explicit upwind compact difference schemes. In ...

A FOURTH ORDER DIFFERENCE SCHEME FOR THE MAXWELL ...

An alternate approach to overcome the boundary difficulties is to introduce a compact difference operator for the spatial derivatives over the Yee stencil, as ...

On Compact Finite Difference Schemes With Applications To Moving ...

Compact finite differences are introduced with the purpose of developing compact methods of higher order for the numerical solution of ordinary and elliptic ...

An explicit fourth-order compact finite difference scheme for three ...

We present an explicit fourth-order compact finite difference scheme for approximating the three-dimensional convection-diffusion equation with variable ...