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

作　　者：廉雪娇 吕学琴[1] Xuejiao Lian;Xueqin Lv(Harbin Normal University, Harbin Heilongjiang)

机构地区：[1]哈尔滨师范大学,黑龙江哈尔滨

出　　处：《理论数学》2016年第1期65-71,共7页Pure Mathematics

摘　　要：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.

关 键 词：二阶积分微分方程 再生核方法 ADM分解方法 收敛性分析 

分 类 号：O1[理学—数学]