解一类Fredholm-Volterra型的积分微分方程  

Solving Integro- differential Equations of Fredholm Volterra Type

作　　者：夏双[1] 吕学琴[1] 张琦[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2015年第6期39-42,共4页Natural Science Journal of Harbin Normal University

摘　　要：在再生核W32[0,1]空间中,基于同伦摄动法(HPM)和再生核方法(RKM)讨论了Fredholm-Volterra型二阶周期边值问题的积分微分方程的数值解.同时,给出了一些算例来验证这种方法的可行性和有效性.In this paper,based on homotopy perturbation method and reproducing kernel method,the numerical solution of Fredholm- Volterra integro- differential equations for two- point,second- order periodic boundary value problems is discussed in the reproducing kernel space W2^3[0,1]. In the mean time,the problem of the error of the series constructed is formulated. Additionally,some numerical examples are presented to demonstrate the high precision of this algorithm.

关 键 词：Fredholm-Volterra积分微分方程 再生核方法 周期边值问题 同伦摄动法 

分 类 号：O241.8[理学—计算数学]