对流扩散方程基于三次自然样条插值特征差分方法

Characteristic Difference Method Based on Cubic Natural Spline Interpolation for Convection-Diffusion Equations

针对一维对流扩散方程提出了基于三次自然样条插值的特征差分格式,给出了L2模误差估计式.数值算例表明,本文格式在很大程度上消除了插值误差对计算格式的影响.

This paper presents a characteristic difference scheme based on cubic natural spline interpolation for the convection-diffusion equations and obtains discrete L_2-norm error the estimate. The results of numerical example showed that the scheme extensively canceled the effect of the interpolatory error.