对流扩散方程基于三次周期样条插值紧致特征差分法

Compact Characteristic Difference Method Based on Cubic Periodic Spline Interpolation for Convection-diffusion Equations

对一维对流扩散方程给出了一个在空间方向计算精度比较高的紧致特征差分格式,该差分格式中的插值部分运用了三次周期样条插值,同时给出了L2模的误差估计式.数值算例表明格式在很大程度上消除了插值误差对计算格式的影响,具有比较好的计算效果.

Compact characteristic difference scheme with high spatial accuracy for convectlve-diffusion equations is obtained and cubic periodic spline interpolation is used. The error estimate of Lz norm is obtained. The result of numerical example shows that the scheme eliminates the influence of interpolation error and has a good effect.