A 5-POINT FINITE-DIFFERENCE METHOD FOR SOLVING PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS

被引：21

作者：

KIMBLE, MC

WHITE, RE

机构：

[1] Department of Chemical Engineering, Texas A and M University, College Station

来源：

COMPUTERS & CHEMICAL ENGINEERING | 1990年 / 14卷 / 08期

关键词：

D O I：

10.1016/0098-1354(90)87047-S

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A five-point finite-difrerence procedure is presented which can be used to solve partial differential equations involving time or time-like derivatives and two spatial conditions (i.e. parabolic partial differential equations). Fourth-order accuracy is obtained by approximating the time derivative by five-point central finite differences and solving the resulting system of equations implicitly. The 1- and 2-D diffusion equations are solved to illustrate the procedure. © 1990.

引用

页码：921 / 924

页数：4

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