摘要
对于对流扩散方程ut=aux+ε2ux2其中a,ε为常数的求解,在文[6]的基础上,增加了Herm ite插值法的应用,增加了格式相容性和误差分析,对于给出的数值例子,利用MAT-LAB工具画出三维网格图,结果说明,数值例子与精确解吻合得相当好.
To solve the diffusion-convection equationδu/δt=αδu/δx+εδ^2u/δx^2(α and ε are cons tan s on the basis of article [ 6 ] , this paper adds the application of Hermite, consistency and analyses its error draws pictures of numerical example with MATLAB. concludes that the numerical solution is identical to the equation solution.
出处
《贵州大学学报(自然科学版)》
2006年第2期119-124,共6页
Journal of Guizhou University:Natural Sciences
关键词
差分方法
三次样条函数
对流扩散方程
Method of difference, Cubic spline, convection-Diffusion Equations