High-Order Difference Schemes for Two-Dimensional Elliptic Equations
High-Order Difference Schemes for Two-Dimensional Elliptic Equations
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DOI：
10.1002/num.1690010108
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发表时间：
1985-03
影响因子：
3.9
通讯作者：
Murli M. Gupta;R. Manohar;J. W. Stephenson
中科院分区：
文献类型：
--
作者：
Murli M. Gupta;R. Manohar;J. W. Stephenson
本文提出了一种高阶有限差分近似，用于求解线性或拟线性椭圆型微分方程。该近似是使用9个节点在正方形网格模板上定义的，并且具有11“阶的截断误差。几个测试问题。包括一个模拟对流为主的流动。使用这种方法和现有的方法来解决。结果清楚地表明，新的近似的优越性，在精度和计算效率。
A high-order finite-difference approximation is proposed for numerical solution of linear or quasilinear elliptic differential equations. lhe approximation is defined on a square mesh stencil using nine node points and has a truncation error of order 11'. Several test problems. including one modeling convection-dominated flows. arc solved using this and existing methods. The results clearly exhibit the superiority of the new approximation, in terms of both accuracy and computational efficiency.