多点周期边值问题新的再生核方法

A new method of reproducing kernel for periodic boundary-value problem

研究多点周期边值问题的数值求解,应用泛函分析理论提出了新的再生核方法。利用物理学中周期问题的模型验证了该方法的有效性,并证明了该方法的一致收敛性。

Numerical solution for a class of periodic boundary-value problem is studied. A new method of reproducing kernel by using functional analysis is given. The method is valid by means of periodic problem in physics, and it has uniform convergence.