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

Brief Summary of Finite Difference Methods

... compact (implicit) 4th order accurate formula for the second derivative ... He, A family of fourth-order and sixth-order compact difference schemes for the three- ...

A Family of Sixth-Order Compact Finite-Difference Schemes for the ...

derivatives of the equation about the center of the three-dimensional compact difference stencil. Higher-order compact finite-difference schemes for ...

Application of High-Order Compact Difference Schemes for Solving ...

In this paper, high-order compact-difference schemes involving a large number of mesh points in the computational stencils are used to numerically solve ...

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.

A higher-order blended compact difference (BCD) method for ...

Namely, the first-order derivatives u_{x} and u_{y} are approximated by the sixth-order CCD interior schemes (59) and (61) in Appendix 1, ...

Implicit summation by parts operators for finite difference ...

The construction of SL schemes with. SBP boundary closures is one of the main results in the present study. The action of a derivative of order ...

A new higher-order super compact finite difference scheme to study ...

The proposed scheme is fourth-order accurate in space and second-order accurate in time, utilizing only seven adjacent grid points at the ( n + ...

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

3. A fourth-order compact finite difference scheme ... The fourth and third derivatives of u in the above equation should be approximated in order to obtain a ...

HIGH-ORDER COMPACT SCHEMES FOR PARABOLIC ... - jstor

auxiliary relations for the higher-order derivatives appearing in the truncation error of the central difference approximation in section 3. In section 4 we ...

An explicit high-order compact finite difference scheme for the three ...

The stability and convergence condition of the proposed scheme are proved. We extend the proposed method to solve problems with nonlinear source terms and ...

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 ...

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

In [9],. Lele introduced the second-, third- and fourth-order implicit boundary schemes for the first and second order derivatives. Especially when fourth-order ...

Derivation of New Staggered Compact Schemes with Application to ...

A method is proposed for the derivation of new classes of staggered compact derivative and interpolation operators. The algorithm has its roots in an ...

Compact schemes in time with applications to partial differential ...

[17] Chu, P.C., Fan, C., A three-point combined compact difference scheme, J. ... derivative Runge–Kutta methods for PDEs using a novel ...

Higher-order Accuracy Schemes for Differentiation and Integration

The accuracy of the differentiation approximations is considered and new schemes are developed to lower the error.

Development of a new type of weighted compact scheme | Semantic ...

A novel central compact finite-difference scheme for third derivatives with high spectral resolution · Engineering, Physics · 2024.

Third-Order Finite-Difference Schemes on Icosahedral-Type Grids ...

... derivatives for a line of grid points along a great circle in the classical ... compact way: i1520-0493-136-7-2683-e16. View Expanded. i1520-0493-136-7 ...

A Compact Finite Volume Scheme for the Multi-Term Time Fractional ...

The time fractional derivatives are described in Caputo's sense. By using some operators, we obtain the compact finite volume scheme have high order accuracy.

Fourth-Order Accurate Compact Scheme for First-Order Maxwell's ...

We construct a compact fourth-order scheme, in space and time, for the time-dependent Maxwell's equations given as a first-order system on a ...

High Order Compact Schemes for Flux Type BCs

Abstract. 1. Introduction. 2. Constructing fourth order compact schemes for Poisson/Helmholtz equations with a flux BC using an ...