变分迭代法求解一个抛物型方程的反问题  

Variational Iteration Method for Solving an Inverse Parabolic Equation

作　　者：张钟德[1] 刘素蓉[1] 

机构地区：[1]湖南信息职业技术学院,湖南长沙410200

出　　处：《怀化学院学报》2009年第2期20-24,共5页Journal of Huaihua University

摘　　要：变分迭代法已被应用于求解一类含有未知参数线性抛物型方程的反问题中,它通过Lagrange乘子求得未知参量的精确值.变分迭代法可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.为了说明该方法的有效性,给出了两个实例.A new analytical method known as variational iteration method is introduced to solve nonlinear equations. In this paper, variational iteration method aims to find the solution of an inverse parabolic equation. This method is based on the use of Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method a rapid convergent sequence is produced which tends to the exact solution of the problem. To show the efficiency of the present method, two examples are presented.

关 键 词：变分迭代法 抛物型方程反问题 LAGRANGE乘子 

分 类 号：O175.26[理学—数学]