中文摘要：

在再生核空间中构造了一种新的算法,研究了一类带有非线性边值问题的数值求解算法.该文基于再生核理论结合最小二乘法来求解四阶非线性边值问题,该理论是基于再生核空间W25[01,],方程的精确解以级数的形式在再生核空间W25[01,]中给出,同时给出了一些算例说明了这个方法的有效性.

英文摘要：

In this paper,a new algorithm is studied for a class of boundary value problems with nonlinear numerical algorithm based on renewable nuclear.Combining theory with least square method to solve four order nonlinear boundary value problems,and based on renewable nuclear space W52,the exact solution of the equation in the form of series in renewable nuclear space W52 is given.And some numerical examples show the effectiveness of the proposed method.