用样条配置法解边值问题

SOLVING BOUNDARY VALUE PROBLEMS WiTH SPLINE COLLOCATION

常微分方程边值问题数值方法远不如初值问题的数值方法那样完善和成熟,初值问题有相应的适应性很强的程序包。不过,多年来边值问题的数值方法也有了多方面的进展,如打靶法、多重打靶法、初值法(不变嵌入法)、外延修正差分法等,其相应的代码也有所建立。我们这里要推荐的是配置法及其代码colloc。

It is pointed out that the code COLLOC is robust in finding numerical solution ot BVP,specially for such difficult problems as singular perturbation and inherent instablity problems. The background of the method is described. The numerical experimentation is successful.