中文摘要：

在文献[9]方法基础上，利用三次周期样条函数构造了求解一类二阶线性周期边值问题的数值解法，并证明了该数值方法的收敛性和稳定性，给出了数值算例．结果表明该方法是可行的和有效的．

英文摘要：

Based on the method of [9] , we use cubic periodic spline to develop a numerical method for computing approximations to the solution of a system of second-order linear periodic boundary value problems. The convergence and stability of this method are proved. A numerical example is given to illustrate the efficiency of this method.