HIGH-ORDER FINITE-DIFFERENCES SCHEMES TO SOLVE POISSONS-EQUATION IN POLAR COORDINATES

被引：13

作者：

MITTAL, RC

GAHLAUT, S

机构：

[1] Department of Mathematics, University of Roorkee, Roorkee-247 667, Uttarakhand

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1991年 / 11卷 / 02期

关键词：

Poisson equation;

D O I：

10.1093/imanum/11.2.261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work finite difference schemes of second and fourth order are derived for the solution of Poisson's equation in polar coordinates. To solve the resulting system of linear equations, a direct method similar to Hockney's method is developed. The schemes are tested on six test problems whose exact solutions are known. The numerical results obtained by these finite-difference schemes show that they produce very accurate results.

引用

页码：261 / 270

页数：10

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[2]

Collatz L, 1960, NUMERICAL TREATMENT

[3]

EISEN D, 1966, SIAM J NUMER ANAL, V3, P545

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