基于B样条函数的对流扩散方程数值模拟

Numerical Modelling Based on B-Spline Function for

利用三次B样条函数,构造了一个求解对流扩散问题的隐式格式,并分析了算法误差及稳定性,给出了数值例子.数值结果表明,构造的格式能处理文献[2]中格式不能处理的问题,且精度更高。

In this paper, by using the cubic B-spline function, an implicit scheme for solving convection. diffusion problem is presented, and the error analysis and the discussion to the stability of the algorithm are made. It is shown from numerical results that the accuracy of the present method is much better than previous methods, while the stability condition is weaker than that required in previous methods.