一类非局部边值问题的数值方法

Numerical algorithm for a class of nonlocal boundary value problem

讨论一类带有积分边界条件的非线性常微分方程边值问题的数值方法。通过建立满足边界条件的再生核空间,获得简单易行的再生核数值逼近方法。给出方程精确解的级数表达式,通过截断级数获得方程的近似解。数值模拟结果说明了该方法的有效性。

This paper addresses a numerical method for a class of nonlinear ordinary differential equation boundary value problem with integral boundary conditions and discusses the way the simple reproducing kernel numerical approximate method is established by constructing the reproducing kernel space adequate for the boundary conditions involved.The paper also describes the exact solution obtained in the form of series and the approximate solution obtained by truncating the series representation of the exact solution.The numerical simulation demonstrates the validity of the proposed method.