## A high order finite difference method with Richardsonextrapolation for 3D convection diffusion equation

- Yuezhen Ma, Yongbin Ge
- Applied Mathematics and Computation
- 2010

Highly Influenced

@inproceedings{Zhangy1997AnEF, title={An Explicit Fourth-order Compact Finite Diierence Scheme for Three Dimensional Convection-diiusion Equation}, author={Jun Zhangy}, year={1997} }

- Published 1997

We present an explicit fourth-order compact nite diierence scheme for approximating the three dimensional convection-diiusion equation with variable coeecients. This 19-point formula is deened on a uniform cubic grid. We compare advantages and implementation cost of the new scheme with the standard 7-point scheme in the context of basic iterative methods. Numerical examples are used to verify the fourth-order convergence rate of the scheme and to show that the Gauss-Seidel iterative methodâ€¦Â CONTINUE READING

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