Fourth-order finite difference method for three-dimensional elliptic equations with nonlinear first-derivative terms

被引：0
|
作者：
Jain, M.K. [1 ]
Jain, R.K. [1 ]
Mohanty, R.K. [1 ]
机构：
[1] Indian Inst of Technology, New Delhi, India
来源：
Numerical Methods for Partial Differential Equations | 1992年 / 8卷 / 06期
关键词：
Boundary value problems - Convergence of numerical methods - Matrix algebra;
D O I：
暂无
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
We present a 19-point fourth-order finite difference method for the nonlinear second-order system of three-dimensional elliptic equations Auxx + Buyy + Cuzz = f, where A, B, C, are M × M diagonal matrices, on a cubic region R subject to the Dirichlet boundary conditions u(x, y, z) = u(0) (x, y, z) on &partR. We establish, under appropriate conditions, O(h4) convergence of the difference method. Numerical examples are given to illustrate the method and its fourth-order convergence.
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页码：575 / 591
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