应用RKM和ADM分解方法解一类二阶积分微分方程
RKM and ADM Decomposition Method for Solving a Class of Two-Order Integral-Differential Equations

DOI: 10.12677/PM.2016.61010, PP. 65-71

Keywords: 二阶积分微分方程，再生核方法，ADM分解方法，收敛性分析
Two-Order Integral-Differential Equations, Reproducing Kernel Method, ADM Decomposition Method, Convergence Analysis

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Abstract:

本文应用RKM和ADM分解方法求解一类二阶带有边值条件的积分微分方程，此方法避免了求解带有未知参数的非线性方程组，同时给出了收敛性分析，并且用算例加以证明方法的有效性。
In this paper, we use RKM and ADM decomposition method to solve a class of second-order boundary value problems for integral-differential equations. This method avoids the series solution of the equation with unknown parameters. At the same time, the problem of convergence analysis is also given in this paper. Additionally, some numerical examples are presented to demonstrate the rationality of this algorithm.

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