研究带有边值问题的非线性泛函微分方程的数值求解，基于Adomian分解法，我们应用了同伦摄动法，它把非线性微分方程转化为一系列的线性微分方程。应用泛函分析理论、简化的再生核方法求解线性微分方程，它避免了复杂的施密特正交化过程，节省大量时间。数值例子说明我们的算法简单，有效，精度高。%In this paper ,the boundary value problems of nonlinear functional differential equations are considered .Numerical solution has been obtained by combining advantages of the homotopy per‐turbed method and the simplified reproducing kernel method .A numerical example is presented to dem‐onstrate strength of the method .
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