Higher-order spatial discretisations in digital simulations. Algorithm for any multi-point first- or second derivative on an arbitrarily spaced grid

被引：18

作者：

Britz, D ^{[1
]}

机构：

[1] Aarhus Univ, Dept Chem, DK-8000 Aarhus C, Denmark

来源：

ELECTROCHEMISTRY COMMUNICATIONS | 2003年 / 5卷 / 03期

关键词：

finite difference digital simulation; general spatial derivative approximations; arbitrary grid;

D O I：

10.1016/S1388-2481(03)00012-2

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

A general algorithm for finite difference approximations to first and second derivatives with respect to space on an arbitrarily spaced grid is presented. The approximations can refer to any point within a given sequence of points, the total number of points being extendable to any practical value. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：195 / 198

页数：4

共 17 条

[1]

[Anonymous], 1986, NUMERICAL RECIPES FO

[2]

[Anonymous], 1964, INTEGRATION EQUATION

[3] USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .1. INTRODUCTORY EXPLORATION OF THE FINITE-DIFFERENCE ADAPTIVE MOVING GRID SOLUTION OF THE ONE-DIMENSIONAL FAST HOMOGENEOUS REACTION-DIFFUSION PROBLEM WITH A REACTION LAYER [J].