样条函数在对流扩散方程中的应用

The Application of Cubic Splines to The Solution of Diffusion Convection Equation

对于对流扩散方程ut=aux+ε2ux2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.