Abstract
本文讨论Fredholm积分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，并给出了误差估计。数值模拟结果说明本文方法的有效性。 This paper discusses the numerical method for a class of Fredholm integro-differential boundary value problems. By constructing the reproducing kernel space which satisfies the boundary condi-tions, the simple reproducing kernel numerical approximate method is established. The paper describes both the exact solution obtained in the form of series and the approximate solution ob-tained by truncating the series representation of the exact solution. Error estimation of the method was discussed. The results of numerical simulation demonstrate the validity of the method in the paper.
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