常微分方程边值问题的一个新解法

A NEW METHOD FOR SOLVING THE BOUN DARY VALUE PROBLEM OF ORDINARY DIFFERENTIAL EQUATIONS

常州化工学院

沃尔什函数系是完备的正交系,且构成阿贝尔群,因此可用沃尔什函数解微分、积分方程.在文献[1]中,沃尔什函数被用来求解常微分方程初值问题.本文通过建立若干数据表的办法,用沃尔什函数求解线性和非线性常微分方程边值问题,本方法编程方便,易于在计算机上实现.

The Walsh function system is a complete orthogonal system, it constructs the Abelian group. Hence, both the differential equation and the integral equation could be solved by using the Walsh function. In the first article presented in REFERENCES, the Walsh function was used to solve the initial value problem of the ordinary differential equations. In this paper, it was used to solve boundary value problems for linear and non-linear ordinary differential equations by establishing some data tablse. It is convenience programming with this method and is easy to implement all the calculation by computer.