FINITE-ELEMENTS FOR NEAR-SINGULAR SYSTEMS - APPLICATION TO BACTERIAL CHEMOTAXIS

被引：4

作者：

KOSTER, LG ^{[1
]}

GAZI, E ^{[1
]}

SEIDER, WD ^{[1
]}

机构：

[1] UNIV PENN, DEPT CHEM ENGN, PHILADELPHIA, PA 19104 USA

来源：

COMPUTERS & CHEMICAL ENGINEERING | 1993年 / 17卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0098-1354(93)80038-O

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Difficulties with error estimation and mesh-placement methods are demonstrated for a chemotaxis boundary-value problem. An improved algorithm is introduced to locate and accurately represent steep concentration fronts over many orders of magnitude. The Taylor collocation method, applied to high-order ODEs, provides lower truncation errors, smaller matrices and less round-off error than the Lagrange collocation method. This is demonstrated for singular-perturbation and chemotaxis boundary-value problems.

引用

页码：485 / 503

页数：19

共 21 条

[1] COLLOCATION FOR 2-POINT BOUNDARY-VALUE-PROBLEMS REVISITED [J].