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
收藏
页码：279 / 288
页数：10
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