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
收藏
页码：1291 / 1304
页数：14
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