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利用变分迭代技术解时滞微分方程
引用本文:王吉安,赵新主.利用变分迭代技术解时滞微分方程[J].数学的实践与认识,2010,40(14).
作者姓名:王吉安  赵新主
基金项目:广西自然科学基金,湖南省科技厅计划项目
摘    要:应用变分迭代法这种较新的迭代技术解具有初值条件的时滞微分方程.通过这种方法,获得了它的数值解和精确解.通过一些实例充分地说明了这种方法是有效地和便捷的,所得的值与精确解相比较,进一步表明了这种方法的可靠性和精确性.而且这种方法还能被应用到其它领域.

关 键 词:变分迭代法  限制变分  时滞微分方程

Solution of Delay Differential Equation with Initial Value by Variational Iteration Technique
WANG Ji-an,ZHAO Xin-zhu.Solution of Delay Differential Equation with Initial Value by Variational Iteration Technique[J].Mathematics in Practice and Theory,2010,40(14).
Authors:WANG Ji-an  ZHAO Xin-zhu
Abstract:In this paper,we implement a relatively new analytical technique which is called the variational iteration method for solving the delay differential equation with initial value. We can obtain numerical and exact solutions.some examples are given to illustrate the effectiveness and convenience of the method.The result are compared with the exact solution and the comparison showed it was a proper accuracy of method,this method can be extended to other fields.
Keywords:variational iteration technique  restricted variation  delay differential equations
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