# 一类Fredholm积分微分方程边值问题的数值方法Numerical Algorithm for a Class of Fredholm Integro-Differential Boundary Value Problems

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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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