| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636471 | Applied Mathematics and Computation | 2007 | 10 Pages |
Abstract
In 1992, Jain et al. [M.K. Jain, R.K. Jain, R.K. Mohanty, Fourth-order finite difference method for three dimensional elliptic equations with nonlinear first-derivative terms, Numer. Meth. Part. Differ. Equat. 8 (1992) 575-591] proposed a fourth order finite difference scheme for the 3-D elliptic equation. In this paper, we present a simple and new form of 19-point fourth order difference method for the nonlinear second-order 3-D elliptic difference equation Auxx + Buyy + Cuzz = f(x, y, z, u, ux, uy, uz), where A, B and C are constants on a cubic region W subject to the Dirichlet boundary conditions on âW.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mehdi Dehghan, Seyedeh Mahboubeh Molavi-Arabshahi,