变分迭代法求解比例Volterra泛函积分微分方程（英文）  

A variational iteration method for solving the pantograph-type Volterra functional integro-differential equation

作　　者：王宝华[1] 

机构地区：[1]中国石油勘探开发研究院油气开发软件中心,北京100083

出　　处：《黑龙江大学自然科学学报》2013年第5期589-594,共6页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the CNPC"The Next Generation of Reservoir Numerical Simulation"(2011A-1010);RIPED/CNPC"GPU Parallel Solving Techniques in Reservoir Numerical Simulation"(2011Y-012))

摘　　要：将变分迭代法应用到比例Volterra泛函积分微分方程,研究方法的收敛性,给出保证迭代法收敛的充分条件。为验证方法的有效性,给出了一些数值实验,结果表明:变分迭代法为求解比例泛函积分微分方程提供了直接而有力的数学工具。A variational iteration method is applied to solve pantograph-type Volterra functional inte- gro-differential equations （VFIDEs）. Sufficient conditions are given to guarantee the convergence. Some numerical examples are given to illustrate the effectiveness of the method. The results of examples show that the method provides a straightforward and powerful mathematical tool for solving pantograph-type in- tegro-differential equations.

关 键 词：比例Volterra泛函积分微分方程 变分迭代法 收敛性 拉格朗日乘数 

分 类 号：O189.1[理学—数学]