摘要
概述三次样条函数及其导数之间的关系,并将三次样条函数及其导数的关系应用于对流扩散方程 u/t =a(u/x)+ε(~2u/x^2),其中:a,ε为常数 (1)的求解,导出了格式的相容性、收敛性和稳定性条件,并给出了数值例子。
Author present the derivative of the cubicspline function and use them to solve the diffusion-convection equation
and discuss the consistency, stability and convergence of the difference scheme. The theoretical results are verified by the numerical examples.
出处
《贵州大学学报（自然科学版）》
2003年第3期236-246,共11页
Journal of Guizhou University:Natural Sciences
关键词
三次样条函数
对流扩散方程
稳定性条件
cubic spline
diffusion-convection equation
stability condition.
