利用格林函数求解三阶两点边值问题

The Numerical Solution of Third-order Boundary-value Problems Using Green's Function

本文讨论了利用格林函数方法对一类三阶常微分方程的两点边值问题进行数值求解。由三阶微分算子引出了格林函数,再根据边界条件构造了特定的格林函数,然后用数值例子加以说明。

In this paper, we use the Green's function to find numerical solutions of a class of third-order ordinary differential equations for two-point boundary value problems. We gain the Green's function formula from a third-order differential operator, and construct an special Green's function with the boundary conditions. We analyze numerical solutions which is obtained by the Green's function method.