A comparison of splines interpolations with standard finite difference methods for one-dimensional advection-diffusion equation

被引：2

作者：

Thongmoon, Montri ^{[1
]}

Tangmanee, Suwon ^{[1
]}

Mckibbin, Robert ^{[1
]}

机构：

[1] Massey Univ, Inst Informat & Math Sci, Auckland, New Zealand

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2008年 / 19卷 / 08期

关键词：

advection-diffusion equation; cubic spline methods; finite differences (FTCS) method; Crank-Nicolson method;

D O I：

10.1142/S0129183108012819

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Four types of numerical methods namely: Natural Cubic Spline, Special A-D Cubic Spline, FTCS and Crank-Nicolson are applied to both advection and diffusion terms of the one-dimensional advection-diffusion equations with constant coefficients. The numerical results from two examples are tested with the known analytical solution. The errors are compared when using different Peclet numbers.

引用

页码：1291 / 1304

页数：14

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