A NEW 3RD-ORDER FINITE-DIFFERENCE METHOD FOR TRANSIENT ONE-DIMENSIONAL ADVECTION DIFFUSION

被引：22

作者：

NOYE, BJ

机构：

来源：

COMMUNICATIONS IN APPLIED NUMERICAL METHODS | 1990年 / 6卷 / 04期

关键词：

D O I：

10.1002/cnm.1630060405

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The accuracy of some first- and second-order methods for solving the time-dependent one-dimensional constant-coefficient advection-diffusion equation are compared theoretically on the basis of the dominant error terms in their modified equivalent partial differential equations. A new very stable three-point (in space) third-order implicit method is then developed by combining two second-order methods. The accuracies of the various methods are then compared by means of numerical tests.

引用

页码：279 / 288

页数：10

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